It’s funny she would describe (at least the original) Trek as “Social Justice Warrior-y.” That’s far from how I saw it and still see it. It was about resolving problems (if at all possible) when they occurred. That’s what Conservatives are about.
SJWism is the polar opposite. For them, it’s about wronging rights. Creating problems where there weren’t any. Creating divisions. Causing strife and hate wherever they go. The Trek universe (at least before the current batch of ultra-PC garbage) was about a color-blind society. That’s the goal of Conservatism. That is NOT the goal of SJW/PCers. The end result of their ideology is best reflected in “Let That Be Your Last Battlefield” between Bele and Lokai, forever locked into hate over skin color that ultimately ends with the death of their planet and themselves.
Even Kirk & Crew didn’t want to stick around for the two of them to kill each other or to try to resolve something between them, because they knew there was nothing more they could do. Logic and reason was no longer possible. Why there’s no logic or reason in dealing with the evil that is SJW/PC. Add to that, if you gave all these SJWs their own planet, free from that nasty Conservative influence, I guarantee you within a century, they would destroy themselves over who was the more pure SJW (like the Mohammadans). If there were any of them left, perhaps hiding in caves away from the cities, they’d probably be Conservative.
Not so much when the show came out, though. The idea and the show were considered to be liberal (in a mild, JFK sort of way).
It was about resolving problems (if at all possible) when they occurred. That’s what Conservatives are about.
Kirk was the rationalist come to set things in order -- as you say, to resolve problems. At the time, liberals saw themselves in that way.
Fifty years later, the White guy come to solve people's problems is in for a lot of grief from all the people with grievances.
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I was going to say that there weren't "social justice warriors" fifty years ago, but then I remembered that in a real way there were. Somehow, the atmosphere was very different.
I think the difference between then and now is that most people in positions of authority were White men, and those who weren't white or male weren't making any kind of challenge to what were regarded as the prevailing values of society.
It's different now and it was even different by the end of the 1960s. There's been a real sense of revolt against anything identified with the old order. Nowadays, if you still want to solve problems, you better not be a White man.
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There was a tension built into the show (and maybe into liberalism, too) from the beginning. Kirk wasn't supposed to interfere in what was happening on all those planets, but he always found a way to get involved. Sort of like how people start out being "tolerant" and "non-judgmental" but end up making a judgment and taking sides in the end.
SJWs = Organic voids that serve no purpose except act perpetually aggrieved.