Have you tried Star Trek Prodigy? It definitely has much less of the woke angle you describe compared to Discovery and Picard.

Edit to clarify: I have no issue with diversity and representation, obviously. In fact, I’m more annoyed by the right’s misappropriation of the word “woke” than I am with shows that are hamfisted about it. Nor do I think that Prodigy is any less Star Trek. I just like the writing more and think that its representation is well executed.