That's sure a lot of "fallacies". I would be curious to learn which texts you were referring to. Regardless, if you are serious about (further) reading I am happy to oblige.

- Martin Jay is the expert on the Frankfurt School and is an engaging writer. For overviews I would start there.

- I also hear good things about Raymond Geuss' Idea of Critical Theory. I haven't read it, but I do know him to be a brilliant thinker.

- Despite it being a rather difficult text, I would recommend Dialectic of Enlightenment. A favourite of mine that I discuss here: https://lukeob.medium.com/liberalisms-last-legs-d2556b011031

- Anything by Walter Benjamin. He ably and eloquently dismantles the liberal illusions about progress for one. I rely on him here:
https://lukeob.medium.com/nostalgia-against-desolation-for-a-left-without-progress-983337c43e6a

- Horkheimer's Eclipse of Reason is a great, and relatively short read. I would think his subtle defense of "objective rationality" would be appreciated by IDW types (but, unlike you obviously, they do not tend to actually read what they've been told to so fervently oppose).

- As for CRT, which you mistakenly conflated with Critical Theory proper, Critical Race Theory: An Introduction by Jean Stefancic and Richard Delgado is worthwhile.

Again, I would be very interested to hear about what you've read in this area previously, and what, specifically, proved problematic.