Not a silver bullet. With this we'd still have the death penalty; or voted for populists measures like banning minarets.
Have you considered any noblesse oblige-style colonization and rule of third-world nations? Sounds like a good match.
Postscript. You'd think a little geographic diversity and a federal system would let people let each other live in peace but instead we have national culture wars.
There has to be something resembling meritocracy in any functioning organization, and that includes a government.
I'd normally take your side on this, but then there's the fact that the Southern United States still exists and is a major reason why U.S. law borders on jingoistic theocracy.