I'd note in regards to this that a very real phenomenon...Or, at least, as I think so...is marketing and news-making this way in order to get controversy-attention and then drive-up ratings for the show, regardless of overarching message. Trump and Brexit both being massively controversial items, rhetoric over them and how the [x] you're making is a grand gesture of resistance is...kind've unsurprising? I mean, it's cynical, don't get me wrong. But it's essentially the same strategy that news agencies and the like have seen to great effect (and, arguably, helped to promote both items by providing free coverage that was 'mocking' or negative).
Essentially, I have to half-wonder if this isn't a case of 'free publicity is good publicity'? Folks who already like Trek might easily be willing to give it a shot regardless of messaging (actors and media being not exactly in-step with the more right-wing sectors of society is nothing new whatsoever), while these rhetorical flourishes and 'look how hip I am with the resistance against these bad things' presentation might attract folks who otherwise might not 'be there'.
Of course, I base this somewhat vague sentiment mostly off of Captain Marvel where the political/cultural opinions of Larson were made a to-do out of and used as something of an advertising gimmick and the movie was...generic? Like...Until a movie or series comes out, I have a hard time taking any of the stuff said about it--even by people involved--seriously because they're obviously and justifiably trying to sell/market it, and selling anti-Trump and anti-Brexit is a market niche the same way selling anti-Bush or anti-Iraq War was (or even as selling anti-Obama stuff sorta was with...the Indian dude who got in trouble for tax evasion, for instance? I forget his name. But he operated off the same premise--albeit not one as connected with broader Hollywood movie production).