Chances are that Obama will invoke the 14th amendment to prevent the country from defaulting. And when he does that, the crazies who caused the default will have their impeachable offense. But the Supreme Court will project him, again. Steps to protecting Obama:
House votes to impeach
Senate votes to impeach
If the Court sides with the republicans, the government would default. Roberts won't want the court to be a part of that.
Obama wins again.