Recruit Brad Pitt to run for the Senate. The whole scam will fall flat on its face.
The majority of Republican male office-holders aren't exactly icons of the manly virtues conservatism is supposed to uphold. They are church deacons, not Marlboro Men. Many Rick Santorums and no Ronald Reagans. They get get caricatured as "traditional old white guys" because...well, they are.
Find one major GOP office-holder with any game at all and the whole equation will change. Clinton had only a little bit of it, and look what he was able to get away with.