This seems ill advised. Not just from a policy perspective in what he's putting forth is monstrous but from a political perspective.
I think there's still an 'ick' factor with trans people among a lot of the population that makes them not want trans people in bathrooms or whatever else and so it's probably safe to demagogue against that. I am not sure people would think similarly about having kids taken from their parents for being trans, requiring people report them to the police, etc. That seems like it carries a significant risk of overreach and causing a backlash the other way.
To be fair, as I discussed with my wife, the way that document is written it really only talks about minors that are undergoing conversion treatments. It doesn't speak about minors simply identifying as trans having to be reported etc. That being said, it's just as horrific and CLEARLY a slippery slope - one that is guaranteed to slide quickly and horribly.
I also think that it's perfectly safe move for him politically. We've seen time and time again how the GOP leaders and their dumb ass followers just make a crack into something like this and then their true colors show (and grow) and it becomes even more horrific of shit show.
I hate these people with the power of a million suns. Ironically, I hate that they hate so much. Their minds are twisted.