I disagree about DS9. The discovery of the Gamma Quadrant Wormhole leads to a confrontation with a powerful, relentless enemy that's more technologically advanced than the Federation and leads to a years-long story arc that is pretty consistent, where fighting the war forces the DS9 crew and the Federation to question and reaffirm their commitment to the ideals that underpin their whole civilization and way of living. The whole Section 31 arc, the idea that Federation expansionism created more problems than it solved: a whole lot of that was explicitly anti-statist. Gene Roddenberry was too much of a pie-in-the-sky lefty futurist to have ever allowed that to go ahead while he was alive.

And even before that, the discovery of the wormhole and its connection to the Bajoran religion, the portrayal of the Bajorans as a hardened, jaded people recovering from a military occupation which they themselves fought to a stalemate with almost no help from the Federation, the constant assertion that their religion is the only thing holding them together: all of that is the opposite of woke. Even the portrayal of the Pa-Raiths as seeking to rule through corruption and subversion while the Prophets were the ones who largely expect you to solve your own problems was much more in tune with traditional Christianity than any leftist interpretation of it usually is.