The only true statements that hold for all writers at all times are largely uninteresting.
What can be said with confidence is that Frankfurt School theorists were not "counter-enlightenment".
Adorno and Horkheimer were explicitly trying to explain why the ideal of the enlightenment - greater rationality in social and political affairs and a fuller realization of individual moral autonomy - had not been achieved in their time. They saw themselves, rightly, as more faithful heirs to the tradition in their attempt to "rescue" it than those who insisted it did not require rescue. You may disagree - many within the tradition of critical theory have - but I don't think readings of their texts which see them as "counter-enlightement" can be sustained.
"I wondered to which extent Habermas with the Frankfurter Schule and Critical Theory could be held partially responsible for postmodernism's march through the institutions, identity politics, and indirectly for Trump's two election victories."
With all due respect, this sentence betrays a complete unfamiliarity with "postmodernism", "the long march through the institutions", and "identity politics". It wildly anachronistic to conflate these. It makes about as much sense as saying that Mitterand was an Avignon pope.
Here is a good essay from Moira Weigel that you might want to read: https://www.boundary2.org/2020/07/moira-weigel-palantir-goes...
It is called „ Palantir Goes to the Frankfurt School“ and analysis Karp‘s PhD thesis. Which, even though he didnt write it under Habermas supervision, was highly influenced by the Frankfurt school (Adorno et al).
The author also provides some thoughts on your question. The connection between Critical Theory and Trumpism
Philosophical insights and methods can be used for politics of any color.
I do agree that its wrong to say that Habermas would be responsible(!) for any of that though. As if thinking up stuff would make you responsible for the misuse of those ideas down the road.
2. I'm not blaming Trump's rightwing fascism on social theorists. I wondered whether a backlash against overbearing postmodernism enabled Trump's election victories. Sorry if you find that question vile and banal; I find it rather consequential and important to avoid further fascists.
He signed that “never again” letter, completely buying into the exceptionalism of one group over all others… They kind of threw the baby out of the water and moved into Heidegger territory quickly. They seemed to put “who” over “what” very, very hastily. One would expect an enlightened mind to understand the difference and maybe phrase his concerns a bit more “inclusively”. But let’s be honest, it wasn’t a mistake.
Anyway, we’ll take the good parts and move on.
RIP.