Is it asking to install new versions? It doesn't require removing those packages.
I can tell you, if it's not upgrading version that those packages for sure do NOT conflict.
~$ dpkg --get-selections | grep wine
libkwineffects1abi3 install
wine-gecko1.4 install
wine-gecko1.4:i386 install
wine1.2 install
wine1.3 install
wine1.4 install
wine1.4-amd64 install
wine1.4-common install
wine1.4-dbg install
wine1.4-dev install
wine1.4-i386:i386 install
winetricks install
~$ dpkg --get-selections | grep -f'test.txt'
debhelper install
gettext install
gettext-base install
intltool-debian install
libgettextpo0 install
libgettextpo0:i386 install
liblocale-gettext-perl install
po-debconf install
After some observations in the comments, it looks like the problem might be a multi-arch dependency resolution/false conflict thing where it thinks i386 conflicts with x64.