[sandworm101]

But when two sides are acting from different facts, different understandings of the world, both can reach different conclusions while still being rational.

If you truly believe that one candidate is a lizard-person, the rational thing is to vote against them. When everyone you know and trust also believes in lizard-people, and you are unable to test for yourself, the rational person also believes. The answer to the problem is accuracy in facts, a wider dissemination of reality. The rest will follow.