I was stupid and didn't read down to Dave's vote for two sentence before I voted, but if we wanted a VP here is my ideal ticket:
President Zaphod Beeblebrox
Vice President Havelock Vetinari
Zaphod is canonically described as having the most important quality in a president: distraction.
Vetinari is obviously the most efficient person to rule from the shadows. Heck, he might even do better as "White House Political Director" while we put somebody else in as V.P. (Charles Xavier perhaps, to influence those damn obstructionist senators).
Also, why no ability to vote for The Head of Richard Nixon (and presumably Headless Agnew.)