Yep. PJ O'Rourke once noted that this means Congress could declare that the Terre Haute Elks club is the "other body" and then team up with the VP to declare the President unfit.
For Obama, were stuck with the Cabinet of his choosing. So the question is, has Obama gone so far off the rails that even his Cabinet can't take it anymore? Is their loyalty to him personally, or to their country and the Constitution they took an oath to defend?
-PJ