One way or the other, the current Republican Party as we know it is about to be destroyed. If Boehner continues to allow Ted Cruz and his Teabaggers in the House to control the decision making and not back down, then what will happen is continued government shutdown going on months and a default on our debt, which will lead to Depression and collapse, all of which they will be directly and solely responsible for. The other path is the one Booman describes, where Boehner gives up, and either he or some other sane Republican newly elected as speaker by a national coalition of sane Republicans and all the Democrats passes a clean CR and raises the debt ceiling, and then resolves a host of other issues. Such a path would effectively split the current Republican Party into the two parties it actually has been for the last four years: 1) the normal Reagan-Dole-Bush party that is conservative but also interested in actually governing, and 2) the Sarah Palin-Michelle Bachmann-Steven King-Ted Cruz fascist party that is not at all interested in governing. The Tea Party would then officially become a third party, and perhaps the most successful third party ever, since they will have 30 House members and 10 Senators.
Such a split would not stay confined to the Congress. The party would split officially and completely nationwide.
That is what is needed for America to survive. The destruction of the Republican Party into its two component factions. Lincoln once said that a nation, much like a house, divided against itself cannot stand. Now, our nation cannot stand unless the Republican Party divides itself.