Sweetheart. Gay people just want(ed) to be allowed to be gay.
All that anyone else had to do for that to happen was stop telling them they couldn't have relationships, clubs, marriages and so on.
Trans people (activists anyway) however want everyone else to redefine ourselves to fit into their prejudices about men and women.
They demand that everyone else must agree with them that
- we all feel some weird inner womanness or manness, when in fact trans people just assume we do because that is how they think about men and women
- the reason we have single sex spaces is not, in fact, because women's experiences of sexism and male abuse and encrouchment caused women to organise to get them so we were less disadvantaged in male-dominated society, but in order that people who feel wommanyness on the inside can all pee together, and people who feel mannyness on the inside can all pee together
- women, despite having clear biological differences to men and despite having a distinct social history of marginalisation and oppression that was not shared by men, don't actually exist in a biological, social or legal sense
- the challenges that women face because they are female-bodied do not justify having female-only supports
That's not "a vibrant mix of people" - that's reducing the wonderful variety that is humanity and putting people right back into "this is how men think, this is how women think".
I don't know about you, but I'd much rather as a women be seen as person with a particular type of body than as a person with a particular type of mind. Because my body is a basic truth, a fact in the world, but I can have any type of mind.
So no, it's not just like gay rights, or just like anti-racism, or any other lazy equivalence where all that was asked for is to stop treating a marginalised group as lesser. Trans Rights Activism is its own thing, and it is not demanding acceptance, it is demanding obedience and subservience to sexist and oldfashioned ideas about men and women, and to women giving up rights and protections and even the language they need to tell their own stories.