What I would do to prove the point is take a group of several dozen people before these state legislatures in question, present them one by one, and take a poll as to which bathroom each of them belongs in. I would also rig the selection of people to ensure that the lawmakers got most or all of them wrong, and have them compare notes at the end, just to show that nobody's anwers even come close to matching another's.
I'd make sure to have ciswomen that are very tall or bodybuilders, butch lesbians, various transpeople, convincing drag queens, intersex people, genderqueer people, CAIS, XXY, and others that aren't easy (or are they?

) to pigeonhole.
After they're done making jackasses of themselves, maybe they'd see the errors of their ways.