That is a separate debate. The point is that it's the kind of legislation that would also be supported by conservative Muslims and conservative religious people

That is a separate debate. The point is that it's the kind of legislation that would also be supported by conservative Muslims and conservative religious people in general. If you think that trans women are 'men who pretend to be women' then you probably have relatively little to fear from a social agenda driven by recently-immigrated Muslim extremists, were such a thing to pass. Indeed, they would probably be useful allies.