And as Douglas Adams stated in the problem with ruling axiom, is that under no circumstance should you allow someone who gets themselves in a position to rule, rule.
The old election system for one of the Italian city-states was fascinating along these lines - multiple rounds (like, a dozen) alternating between sortition/lot and voting. The benefit, I guess, being that the lottery rounds make strategic voting unworkable, and the voting rounds allow better candidates to be preferred over worse ones.