Via Politico:
“Of course, it’s dangerous,” a House Republican close to Boehner said of the politics of a government default. “But it’s dangerous for everybody, especially the president. At the end of the day, [Obama] will have to give in.”
“Who has egg on their face if there is a sovereign debt crisis, House Republicans or the president?” asked another senior GOP lawmaker.
As Matt Yglesias notes, history seems to point toward sitting Presidents taking the hit for recalcitrant Congresses, particularly when they're Republican obstructors:
That said, the evidence from political science does appear to suggest that if Republican intransigence destroys the American economy, that the voters will respond to this by punishing the incumbent President and electing a Republican.