Well actually one of the big concerns of our, and arguably most, democratic systems is allowing minority voices to be heard and not subsumed by the majority.
There are limits to that. Madison correctly pointed out that we do not want tyranny of the majority. However, we want tyranny of a small minority even less. We have lots of pejorative words for those governmental systems for a reason.
I think trans people are going to have to bargain out something they can live with if they want to end the pushback. The smartest thing the gay and lesbian activists did was to quit trying to aggressively push their culture, and simply frame their issue as centered on having the same legal rights as everyone else. That part is an easy sell to a majority of people who live in most Western countries.
Trans is a much stickier set of issues, in part because of the problem of kids. If I were giving their activists advice, I would tell them to push 'it/they' as the generic pronouns for everyone and quit mucking about with the individual identity stuff. We already did a transition from the generic 'he' to 'she' fairly seamlessly, and if you want my opinion that one didn't provide value for the cognitive price and also primed the present
fracas. Either solution is as arbitrary as whether we drive on the right side of the road or the left, and you don't see us changing that one across societies because of the inevitable societal costs. The risks associated with changing which side we drive on are obviously much higher, but it's the same type of problem.
We would at least have a better reason this time, which we need if a small minority is to build a large enough alliance to get a sizable language change through. It's also just a more sensible solution in logical terms. Statistically speaking, a generic person is a 'she', but not by a lot. It makes more sense to simply not drag gender into it in the first place.