Or rethink the game entirely along these lines so it is the "More Plausible Than I Initially Thought Game", so we don't get things like UFOs at the top.

FWIW I'm really glad that UFOs were at the top. The resultant discussion and links to articles about Fatima contributed to me doing a lot of serious thinking and ultimately changing my mind, and now I believe in "hyperdimensional"/demonic/high-weirdness explanations for UFOs.

Your variation on the game still sounds better, though, 'cuz it focuses on marginals which are clearly more important here.