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Bookmark Converter. That's the name of the program I used the last time I converted someone to Linux. I don't know the URL by heart but I am sure Google would find it instantly. Bookmark Converter will read your favorites and create a bookmarks.html file which you could then copy over to your Linux installation and place inside the folder ~/.mozilla/firefox/default.rku/ (or something like this?? Not sure) .. Firefox should automatically use it.
I use a KVM switch between a windows PC and a Linux box. A great add on that I found for FireFox (and I believe there is an add-on for IE) is ChipMark. You might want to consider using something like that. It integrates flawlessly (for me) with Firefox and has made switching between the two OS' much easier.
there is also the foxmarks bookmark sync addon for firefox... I use it all over my computers ... it works great... besicaly it saves your firefox bookmarks to a free online account and syncs all other firefoxes which have foxmarks installed and registered with your account...
so you could easily install firefox with foxmarks on your windows (it asks to import IE favourites automatically)...
than add foxmarks to your mint firefox and voila
Windows is extremely fast after a fresh install. If you want to make it stay that way: - don't use it.