I am surprised some ambitious billionaire (think Bloomberg type) has not stepped in yet to create a well funded centrists party, completely distancing himself from the religious faction of the GOP, and catering to the centrists in the democratic party alienated by Obama's (perceived or real) push to turn America in a European style social democracy. I know a lot of people that would sign on in a heartbeat. What better way to create a lasting legacy that saving America from itself and dysfunctional polarized politics.
Given business leaders absolute disgust for the way the Republican Party handled this dispute I'd say that is becoming an increasingly likely possibility, or else they'll possibly find a way to permanently marginalized the more extreme aspects of the current party.