If the title's not enough of a clue for you, then let me be explicit in saying that what follows is presented mostly tongue-in-cheek.
This proposal was spurred by an off-hand comment I read on an earlier diary, that I most unfortunately forgot to bookmark, but was surely presented in snark. It was about another failure of our representatives in government to even pretend to represent their constituents. The comment suggested something like, "Maybe we should just select our representatives by lottery. They couldn't do any worse, could they?"
I think this offhand comment has a lot of merit to it, and deserves some exploration. Follow me past the squiggly to get into some details.