The thing to do is for the Republicans to vote "present", and let the Democrats do the President's bidding. Let them have their "win", and take responsibility for the mess they make.
In 2014, we will be able to claim "We told you so", and with clean hands offer to fix the mess.
BTW, the Republicans should be working WITH the Tea Parties, not against them as Mr. Boehner is. I believe the Tea Parties' candidates will do better than the GOP RINOs will. Let's hope that the TPs win more than the RINOs loose.