Ordinarily yes. I'm not sure whether many anti-fascists will want to put their necks on the line over middle-class baby raves with drag dancers but it won't be anybody else.
Your insistence that this was some kind of deliberate provocation in the culture wars just makes you look out of touch tbh. Most people don't give a shit about the culture wars and neither do they think something which has been a staple of prime time family entertainment for several years now is a threat to children. Drag is everywhere to the point of it being a cliche. I went to a drag show last year in a not very well known London pub and there was a load of teenage girls there (with mums in tow) who'd come from out of town to see one of the performers who I think might have been on Drag Race once. It's mainstream to the point it's pissing a lot of drag queens off because a bunch of straight middle class people keep turning up and dominating events in LGBTQ venues.
It's no more a culture war than people necking e's and going to raves was, or queuing up to see Star Wars, it's just fashionable and popular at the moment. And whilst you may be comfortable with allowing fascists to police what kinds of events should be held and using the threat of physical force to shut them down I suspect many anti-fascists are not prepared to cede that ground. Because they won't stop and go home if they win this, they will escalate. It'll be adult drag shows next, then LGBTQ events. Should we wait until then to confront them, when they are stronger, more organised and bolstered by victory?