I know it's funny to insinuate that brain damage caused people to become conservatives, but I think we should accept that the culture around aggressive, full-contact sports tends to be conservative to start with. Surround yourself with that culture day-in, day-out, and before long you find yourself ingrained in more than just their favorite sports.
But I mean, that doesn't mean it's not the brain damage. A thing can be more than one thing.