“Given that Obama will veto any bill that dares to repeal Obamacare, probably neither House of Congress will have the constitutionally required 2/3 majority vote (1.7.2) needed to override such a vote.”
Not necessary. King Buckwheat doesn’t obey the limits of the Constitution, so the senate can act likewise. Simply decree that the majority of a senate vote is sufficient to repeal anything Buckwheat does, including overiding Buckwheat’s veto.
If Buckwheat objects, the senate can overule his objection by a simple unrecorded voice vote.
Also, what do they say, the House controls the purse-strings? That might have been another possible maneuver.