The question these people need to answer is “Why?”.

The answer: Because these are insane, extreme narcissists.

Because they are insane extreme narcissists, whenever there's an issue in the world, their only thought about the issue is "but how does this effect ME?".

With "don't let children get exposed to adult burlesque shows", they don't care about the rights of the drag queens or even what they're doing. They care that if this happens, THEY may not get what they, personally, want somewhere.

(Note: Considering how hardline the anti-drag show laws are [one recent one was so hardline that "drag" was defined as "anyone singing or dancing while wearing makeup", which literally goes down to "a cis woman going to the dance club or singing is technically illegal under this law"], they kind of have a point.)