To begin with, I'm certain us proles will only be allowed two bikes, and the High Party Officials will get to have all they want
Since this is a C&V forum, choosing among my C&V road bikes, I would keep the '86 Centurion Ironman Master, since it is the most complete, in original condition, and sound enough to be a daily rider. The other would be the early '70-something Gitane Tour de Force, since it would qualify as my "non-Japanese" European restoration project. I figure it would present the greatest challenge to restore.
Now, I do have two mountain bikes and race one of them. If I still wanted to race, and had to choose, I would keep the Centurion, since I could use it in duathlons, and then keep the 2001 Gary Fisher Sugar 1 for mountain bike racing.
Power to the People!

geek