If Lessig were to step down and hand power over
to the vice president, then couldn't the vice
president freely appoint a new cabinet?
Lessig would have to govern until he finished enacting his agenda. That could take years. Plus, selecting a good cabinet would off-load distractions from him, allowing him to focus more on his core objectives.
Even if we got stuck with a crappy cabinet for
four years, it would be survivable
A "survivable" term isn't the threshold I personally use when voting for candidates. :)