The republicans need to vote present, the tea party needs to vote no, and then everyone will be happy. The democrats who are forcing a republican hand will get exactly what they want. Republicans will save face with their voters. Tea Partiers will do what they were elected to do. Everyone wins.
This debate right here is exactly the reason a two party system doesn't work. It is like having two 50% owners in a business. They can lock each other out if wanted.