If you don’t already know these facts listed on the American Psychiatric Association website, or Wikipedia, or American Medical Association, then you do not want to know. 400 years of American legal precedent protected our children in their most vulnerable state (showers, toilets, locker room) from predators. Forcing law abiding American citizens to put their children in harms way for the sake of political correctness is evil. You can go to hell, or you can stand up for children. Jesus made the choice clear to all who have an ear.
I believe that a gay man is more likely to be a pedophile, and is likely to prey on young boys, and has access to the same bathroom as young boys.
But I don’t know that a transgender person is more likely to be a pedophile, and i don’t think that you can prove that.
And no one is forced to put their children in harms way.
You can go in there with them, as parents often do, or you can have them not go in there.
Danger and risk has always existed in public places.