Perhaps not make you president, but that amount of money and an absence of moral qualms could probably give you equivalent ability to get things done. President of the US is considerably more difficult than mayor of London (I think). However, both of those seem to be less than maximally efficient at accomplishing specific goals. For that, you'd want to become the CEO of a large company or something similar (which you could probably do with $1-500M, depending on the company. Or perhaps CIO or CFO if that suits your interests better.
I was very interested in the discussions and opinions that grew out of the last time this was played, but find digging through 800+ comments for a new game to start on the same thread annoying. I also don't want this game ruined by a potential sock puppet (whom ever it may be). So here's a non-sockpuppetiered Irrationality Game, if there's still interest. If there isn't, downvote to oblivion!
The original rules:
Enjoy!