There's not much point in trying to ask how they work out their bad takes. They are either incredibly stupid and easily riled up by bad faith arguments or they themselves are making the bad faith arguments to rile up the stupid people. There really isn't any coherent argument to be made for why a child should attend what is essentially a strip tease show. Drag or strip club or pole dancing I don't really care about it. If we had stripper story hour I'd be against it same as the drag.

Mainly there are a bunch of people, not all the gays or drag queens or whatever but a bunch of them, that are wholely into the mindset of "anyone who doesn't accept me outright is my enemy" and that extremist viewpoint leads them to imagine oppression everywhere. It's not much different than the dynamic you see in extremely conservative religious circles where they are desperately trying to equate everything with biblical prophecy and persecution. Once you get that kind of, I don't want to say Marxist lense because the term is trite and overused without much thought, but an essentialist mindset of all things, then you do begin to interpret every interaction through that lense of oppressor vs oppressed, persecutor vs persecuted, and whether the criteria for your essentialist mindset is religion, race, sexuality, or class, the outcome is you view everyone who opposes you as your ideological enemy outright and that lends itself to a constant struggle of reinventing your positions to be against your enemy and prove you are ideologically pure, which of course leads to various rediculous positions getting accepted. Us vs them. Pretty simple tribal dynamics.

It's why they can't see the difference between criticising the suitability of a performance for children with genocide, because in their minds they are the persecuted and all persecution must inevitably progress to genocide.

This is not a good position for society to be in because it will inevitably create a kind of self fulfilling prophecy and escalation. If I believe my opponents or critics literally want me dead then that justifies any manner of response, including ironically enough, genocide, because it's either us or them. That's why this kind of discourse is extremely dangerous to normalize and it should be countered at the earliest possibility. Censorship doesn't work except to fuel the persecution complex. The only way to deal with it is to rationally counter it with well reasoned arguments, so that they look like fools.