Star Trek has often been seen as socially progressive
If you meant social
advancement not really, Star Trek is usually seen as lagging behind the rest of society in terms of social change. The exclusion of a gay main character until recently would be one example.
What a terrifying world you must live in.
No, it's a world of openness, light and transparency. A world of free discussion of ideas and concepts.
Unfortunately this is the antithesis of progressive thought, where open debate must be shut down. If necessary through the use of derisive terms (homophobic, xenophobic, racist), these terms are used as a method of
control. We see this especial today on some university campuses.
This is (one of) the aspects of progressivism that I would prefer was absent from Star Trek. When I spoke of having someone who was the oppose of a progressive character, it would be someone who wanted discussion/debate on a subject that the progressive character didn't personally want openly aired. Only the progressive's viewpoint should prevail, no one else should speak.
One of my favorite parts of Star Trek is where the characters
don't agree with each other, and they talk things through. The characters have their own minds.
I, Borg is a great example, Picard starts out with a certain mind set, but over the course of the episode his position is changed by the views of others. Picard could have employ the progressive tactic and shut down any other way of looking at the situation other than his own, but he didn't.
There are some other aspects of progressivism that could be openly discussed/debated on the show, centralization of control at the top of a power structure, dependence upon government for the basics of life, being a couple of examples