I was talking with a friend of mine who is very plugged in in conservative circles. Had a major job in the Trump administration, etc. Great friend, but definitely a Bear Pit kind of conservative, not one I see eye to eye with on everything.
Anyway, his feeling is that the administration really wants to fight the social wars on this issue, and not on ones like guns, etc. The reasoning being that transgender stuff is their way of most directly targeting the people they hate most -- the deplorablest of the deplorables, and also that it is both a fashionable and less volatile fight to fight. He isn't always right, but is very plugged in. People on here know his name well, so I won't use it. Anyway, expect more of this. It is the fight of choice.