The real problem is that there is no republican majority, they have a coalition that includes 40 or so tea party anarchists who are not interested in anything other then eliminating taxes, gays and abortions.
If this drags on long enough, “moderate” republicans from the north and midwest will end up working with moderate democrats to come up with a solution that is acceptable to the Senate and President, and that will be that.
The death knell is sounding for the republican party