I wouldn't say that the bill doesn't make sense. I think various aspects of it are debatable in that regard.
But I would ask this: You do realize that this pushing that you refer to (ostensibly on behalf of LGBT rights) is in itself a pushback? It isn't just happening in a vacuum? It's the consequence of, and for some people it's in response to, centuries of being put down and harassed and just generally being treated badly by societies in general. Just as you suggest this law is pushing back against these kind of arguably overreaching efforts on behalf of LGBT equality or whatever. Those arguably overreaching efforts are pushing back against a history of societal condemnation and, in some cases, physical abuse and deprivald.
Those groups have reached a tipping point where they've finally gotten fairly widespread support within society, enough support that they have cultural and political power enough to be more assertive in their cause. So that's what they're doing, they're trying to finish the fight - to put their weakened opponent down for the count and, frankly, to punish him for continuing with the (lost) fight which they see as evil, as hateful, as bigoted. Some might not like that tactic, and it may well be an imprudent one, but it's understandable given human psychology and how these groups have generally been treated by society for so long. The worm has turned and while for many that's enough - it's enough that the social condemnation is finally (and mostly) falling away - others want their pound of flesh. And some just want to get to the finish line as fast as possible, slow progress isn't good enough any more. They've waited long enough and now they feel entitled to demand near complete societal acceptance - to get to the point where it is bias against being gay or transgender, rather than being gay or transgender, that makes someone a societal pariah.
If we understand the idea of push back, e.g. common reasons for it, then we should understand some of what happens with the LGBT acceptance movement. That push back has been centuries or millennia, not just years or decades, in the making. Of course, we don't have to agree with it; but it's quite reasonable from a psychological perspective.
If the whole school beats up the weak kid day after day, year after year, through grade school, when he shows up bigger, stronger, and having earned his black belt on the first day of middle school (and maybe now having a few friends), it might be wise to steer clear of him for a while. He might not settle for just starring people down, he might use any excuse he can find - the slightest slight - to get a little pay back and beat down a few of his former (or just symbolic) oppressors. Then again, if you think there's still something worth fighting for as relates to him, go ahead. But expect to go home with some bumps and bruises for your efforts. Because he ain't scared of mixing it up, he's been getting bumps and bruises his whole life because he wasn't strong enough to defend himself. A few more, this time taken from the upright rather than the crouching position? Meh, that's nothing to him. Now he's strong enough to defend himself and he's going to do just that, and perhaps more.