diff --git a/Dockerfile b/Dockerfile
index de59e87..e527040 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -51,13 +51,4 @@ COPY build-libssp.sh libssp-Makefile ./
 RUN ./build-libssp.sh $TOOLCHAIN_PREFIX && \
     rm -rf /build/*
 
-# Cheating: Pull strip and objcopy from the normal binutils package.
-RUN apt-get update -qq && \
-    apt-get install -qqy binutils-mingw-w64-x86-64 && \
-    cp /usr/bin/x86_64-w64-mingw32-strip $TOOLCHAIN_PREFIX/bin/binutils-strip && \
-    cp /usr/bin/x86_64-w64-mingw32-objcopy $TOOLCHAIN_PREFIX/bin/binutils-objcopy && \
-    apt-get remove -qqy binutils-mingw-w64-x86-64 && \
-    apt-get clean -y && \
-    rm -rf /var/lib/apt/lists/*
-
 ENV PATH=$TOOLCHAIN_PREFIX/bin:$PATH
diff --git a/Dockerfile.cross b/Dockerfile.cross
index 5869b6d..9355f3b 100644
--- a/Dockerfile.cross
+++ b/Dockerfile.cross
@@ -39,16 +39,6 @@ RUN ./install-wrappers.sh $CROSS_TOOLCHAIN_PREFIX
 COPY prepare-cross-toolchain.sh .
 RUN ./prepare-cross-toolchain.sh $TOOLCHAIN_PREFIX $CROSS_TOOLCHAIN_PREFIX $CROSS_ARCH
 
-# Cheating: Build binutils for an x86 target and take strip and objcopy
-# from there. The wrapper script can use them for any arch.
-RUN wget -q https://ftp.gnu.org/gnu/binutils/binutils-2.31.1.tar.xz && \
-    tar -Jxf binutils-2.31.1.tar.xz && \
-    cd binutils-2.31.1 && \
-    ./configure --host=$HOST --target=x86_64-w64-mingw32 --prefix=/opt/binutils LDFLAGS="-Wl,-s" && \
-    make -j$(nproc) && \
-    make install && \
-    cp /opt/binutils/x86_64-w64-mingw32/bin/objcopy.exe $CROSS_TOOLCHAIN_PREFIX/bin/binutils-objcopy.exe && \
-    cp /opt/binutils/x86_64-w64-mingw32/bin/strip.exe $CROSS_TOOLCHAIN_PREFIX/bin/binutils-strip.exe
 ARG TAG
 RUN ln -s $CROSS_TOOLCHAIN_PREFIX llvm-mingw && \
     zip -9r /llvm-mingw-$TAG$CROSS_ARCH.zip llvm-mingw
diff --git a/Dockerfile.dev b/Dockerfile.dev
index 01aa2b7..1636e62 100644
--- a/Dockerfile.dev
+++ b/Dockerfile.dev
@@ -119,12 +119,3 @@ RUN cd test && \
     for arch in $TOOLCHAIN_ARCHS; do \
         cp $TOOLCHAIN_PREFIX/$arch-w64-mingw32/bin/*.dll $arch || exit 1; \
     done
-
-# Cheating: Pull strip and objcopy from the normal binutils package.
-RUN apt-get update -qq && \
-    apt-get install -qqy binutils-mingw-w64-x86-64 && \
-    cp /usr/bin/x86_64-w64-mingw32-strip $TOOLCHAIN_PREFIX/bin/binutils-strip && \
-    cp /usr/bin/x86_64-w64-mingw32-objcopy $TOOLCHAIN_PREFIX/bin/binutils-objcopy && \
-    apt-get remove -qqy binutils-mingw-w64-x86-64 && \
-    apt-get clean -y && \
-    rm -rf /var/lib/apt/lists/*
diff --git a/README.md b/README.md
index ef2e58a..e854402 100644
--- a/README.md
+++ b/README.md
@@ -84,10 +84,6 @@ normal GCC/binutils based MinGW.
   Sanitizer requires using a PDB file for symbolizing the error location and
   backtraces.
 - The sanitizers are only supported on x86.
-- llvm-objcopy doesn't support COFF yet, so the docker images bundle binutils
-  objcopy/strip for this purpose instead, with a wrapper to relabel ARM/ARM64
-  binaries into something that binutils objcopy/strip accepts to work on,
-  and back.
 - The import libraries that this toolchain produces are in the same COFF
   short import format as MSVC produces; GNU binutils doesn't support
   this format.
diff --git a/install-wrappers.sh b/install-wrappers.sh
index 81356e3..53f931a 100755
--- a/install-wrappers.sh
+++ b/install-wrappers.sh
@@ -37,7 +37,6 @@ if [ -n "$HOST" ]; then
         cat $i | sed 's/^DEFAULT_TARGET=.*/DEFAULT_TARGET='$HOST/ > $PREFIX/bin/$(basename $i)
     done
 fi
-$CC wrappers/change-pe-arch.c -o $PREFIX/bin/change-pe-arch$EXEEXT
 $CC wrappers/clang-target-wrapper.c -o $PREFIX/bin/clang-target-wrapper$EXEEXT -O2 -Wl,-s $WRAPPER_FLAGS
 $CC wrappers/windres-wrapper.c -o $PREFIX/bin/windres-wrapper$EXEEXT -O2 -Wl,-s $WRAPPER_FLAGS
 if [ -n "$EXEEXT" ]; then
@@ -53,7 +52,7 @@ for arch in $ARCHS; do
     for exec in clang clang++ gcc g++ cc c99 c11 c++; do
         ln -sf clang-target-wrapper$CTW_SUFFIX $arch-w64-mingw32-$exec$CTW_LINK_SUFFIX
     done
-    for exec in ar ranlib nm strings; do
+    for exec in ar ranlib nm objcopy strings strip; do
         ln -sf llvm-$exec$EXEEXT $arch-w64-mingw32-$exec$EXEEXT || true
     done
     for exec in windres; do
@@ -62,9 +61,6 @@ for arch in $ARCHS; do
     for exec in ld objdump dlltool; do
         ln -sf $exec-wrapper.sh $arch-w64-mingw32-$exec
     done
-    for exec in objcopy strip; do
-        ln -sf objcopy-wrapper.sh $arch-w64-mingw32-$exec
-    done
 done
 if [ -n "$EXEEXT" ]; then
     if [ ! -L clang$EXEEXT ] && [ -f clang$EXEEXT ] && [ ! -f clang-$CLANG_MAJOR$EXEEXT ]; then
diff --git a/wrappers/change-pe-arch.c b/wrappers/change-pe-arch.c
deleted file mode 100644
index 36562c8..0000000
--- a/wrappers/change-pe-arch.c
+++ /dev/null
@@ -1,164 +0,0 @@
-/*
- * Copyright (c) 2018 Martin Storsjo
- *
- * This file is part of llvm-mingw.
- *
- * Permission to use, copy, modify, and/or distribute this software for any
- * purpose with or without fee is hereby granted, provided that the above
- * copyright notice and this permission notice appear in all copies.
- *
- * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
- * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
- * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
- * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
- * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
- * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
- */
-
-#include <stdio.h>
-#include <stdint.h>
-#include <string.h>
-
-#define IMAGE_DOS_SIGNATURE 0x5A4D
-#define IMAGE_NT_SIGNATURE  0x00004550
-
-#define IMAGE_FILE_MACHINE_AMD64 0x8664
-#define IMAGE_FILE_MACHINE_ARMNT  0x1C4
-#define IMAGE_FILE_MACHINE_ARM64 0xAA64
-#define IMAGE_FILE_MACHINE_I386   0x14C
-
-static uint16_t readUint16(FILE *f) {
-    uint8_t buf[2];
-    if (fread(buf, 1, 2, f) != 2)
-        return -1;
-    return buf[0] | (buf[1] << 8);
-}
-
-static uint32_t readUint32(FILE *f) {
-    uint8_t buf[4];
-    if (fread(buf, 1, 4, f) != 4)
-        return -1;
-    return buf[0] | (buf[1] << 8) | (buf[2] << 16) | (buf[3] << 24);
-}
-
-static void writeUint16(FILE *f, uint16_t val) {
-    uint8_t buf[2];
-    buf[0] =  val       & 0xff;
-    buf[1] = (val >> 8) & 0xff;
-    if (fwrite(buf, 1, 2, f) != 2)
-        perror("fwrite");
-}
-
-static void writeUint32(FILE *f, uint32_t val) {
-    uint8_t buf[4];
-    buf[0] =  val        & 0xff;
-    buf[1] = (val >>  8) & 0xff;
-    buf[2] = (val >> 16) & 0xff;
-    buf[3] = (val >> 24) & 0xff;
-    if (fwrite(buf, 1, 4, f) != 4)
-        perror("fwrite");
-}
-
-static uint16_t archToInt(const char *str) {
-    if (!strcmp(str, "i686"))
-        return IMAGE_FILE_MACHINE_I386;
-    else if (!strcmp(str, "x86_64"))
-        return IMAGE_FILE_MACHINE_AMD64;
-    else if (!strcmp(str, "armv7"))
-        return IMAGE_FILE_MACHINE_ARMNT;
-    else if (!strcmp(str, "aarch64"))
-        return IMAGE_FILE_MACHINE_ARM64;
-    fprintf(stderr, "Unknown architecture %s\n", str);
-    return 0;
-}
-
-static int is64Bit(uint16_t arch) {
-    switch (arch) {
-    case IMAGE_FILE_MACHINE_AMD64:
-    case IMAGE_FILE_MACHINE_ARM64:
-        return 1;
-    default:
-        return 0;
-    }
-}
-
-void help(const char *argv0) {
-    printf("%s [-check] [-from arch] [-to arch] file\n", argv0);
-}
-
-int main(int argc, char *argv[]) {
-    int check = 0;
-    uint16_t from = 0, to = 0;
-    int i;
-    const char *filename = NULL;
-    FILE *f;
-    uint32_t offset;
-    for (i = 1; i < argc; i++) {
-        if (!strcmp(argv[i], "-check")) {
-            check = 1;
-        } else if (!strcmp(argv[i], "-from") && i + 1 < argc) {
-            from = archToInt(argv[++i]);
-        } else if (!strcmp(argv[i], "-to") && i + 1 < argc) {
-            to = archToInt(argv[++i]);
-        } else if (!filename) {
-            filename = argv[i];
-        } else {
-            help(argv[0]);
-            return 1;
-        }
-    }
-    if ((!check && (!from || !to)) || !filename) {
-        help(argv[0]);
-        return 1;
-    }
-    if (!check && is64Bit(from) != is64Bit(to)) {
-        fprintf(stderr, "Mismatched atchitecture bitness\n");
-        return 1;
-    }
-    f = fopen(filename, "r+b");
-    if (!f) {
-        perror(filename);
-        return 1;
-    }
-    if (readUint16(f) != IMAGE_DOS_SIGNATURE) {
-        if (!check)
-            fprintf(stderr, "Incorrect DOS header signature\n");
-        goto fail;
-    }
-    if (fseek(f, 0x3c, SEEK_SET) == -1) { // offsetof(IMAGE_DOS_HEADER, e_lfanew)
-        if (!check)
-            fprintf(stderr, "Unable to seek\n");
-        goto fail;
-    }
-    offset = readUint32(f);
-    if (fseek(f, offset, SEEK_SET) == -1) {
-        if (!check)
-            fprintf(stderr, "Unable to seek\n");
-        goto fail;
-    }
-    if (readUint32(f) != IMAGE_NT_SIGNATURE) {
-        if (!check)
-            fprintf(stderr, "Incorrect NT header signature\n");
-        goto fail;
-    }
-    if (check)
-        goto done;
-    if (readUint16(f) != from) {
-        fprintf(stderr, "Unexpected architecture\n");
-        goto fail;
-    }
-    fseek(f, -2, SEEK_CUR);
-    writeUint16(f, to);
-    if (fseek(f, offset + 0x58, SEEK_SET) == -1) { // offsetof(IMAGE_NT_HEADERS, OptionalHeader.CheckSum)
-        fprintf(stderr, "Unable to seek\n");
-        goto fail;
-    }
-    writeUint32(f, 0);
-done:
-    fclose(f);
-    return 0;
-fail:
-    fclose(f);
-    return 1;
-}
diff --git a/wrappers/objcopy-wrapper.sh b/wrappers/objcopy-wrapper.sh
deleted file mode 100755
index 5ba1703..0000000
--- a/wrappers/objcopy-wrapper.sh
+++ /dev/null
@@ -1,95 +0,0 @@
-#!/bin/sh
-
-set -e
-
-DIR="$(cd "$(dirname "$0")" && pwd)"
-BASENAME="$(basename "$0")"
-TARGET="${BASENAME%-*}"
-DEFAULT_TARGET=x86_64-w64-mingw32
-if [ "$TARGET" = "$BASENAME" ]; then
-    TARGET=$DEFAULT_TARGET
-fi
-EXE="${BASENAME##*-}"
-ARCH="${TARGET%%-*}"
-
-IN=""
-OUT=""
-ARGS=""
-STRIP=""
-while [ $# -gt 0 ]; do
-    case $1 in
-    --strip*|-g|-S)
-        STRIP=1
-        ;;
-    -*)
-        ;;
-    *)
-        if [ -z "$IN" ]; then
-            IN="$1"
-        elif [ -z "$OUT" ]; then
-            OUT="$1"
-        else
-            echo Unhandled arg $1
-            exit 1
-        fi
-        ;;
-    esac
-    ARGS="$ARGS $1"
-    shift
-done
-if [ -n "$IN" ] && [ -z "$OUT" ]; then
-	OUT="$IN"
-fi
-
-case $ARCH in
-i686|x86_64) COMPAT_ARCH=$ARCH;;
-armv7)       COMPAT_ARCH=i686;;
-aarch64)     COMPAT_ARCH=x86_64;;
-esac
-
-convert() {
-    if [ "$ARCH" = "$COMPAT_ARCH" ]; then
-        return
-    fi
-    $DIR/change-pe-arch "$@"
-}
-
-checkstrip() {
-    if [ "$EXE" = "strip" ]; then
-        return 0
-    elif [ -n "$STRIP" ]; then
-        if [ "$IN" != "$OUT" ]; then
-            cp "$IN" "$OUT"
-        fi
-        return 0
-    else
-        return 1
-    fi
-}
-
-if [ "$ARCH" != "$COMPAT_ARCH" ] && ! $DIR/change-pe-arch -check "$IN"; then
-    if checkstrip; then
-        echo Ignoring strip of non-executable \(object file\?\) >&2
-        exit 0
-    else
-        echo Unsupported "$0 $ARGS", not supported for non-executable \(object file\?\) >&2
-        exit 1
-    fi
-fi
-
-if [ -x $DIR/binutils-$EXE ]; then
-    convert -from $ARCH -to $COMPAT_ARCH "$IN"
-    $DIR/binutils-$EXE $ARGS
-    convert -from $COMPAT_ARCH -to $ARCH "$OUT"
-    if [ "$OUT" != "$IN" ]; then
-        convert -from $COMPAT_ARCH -to $ARCH "$IN"
-    fi
-else
-    if checkstrip; then
-        echo Ignoring strip, missing binutils-$EXE >&2
-        exit 0
-    else
-        echo Unsupported "$0 $ARGS", missing binutils-$EXE >&2
-        exit 1
-    fi
-fi