just men who like playing dress up?
Some of them, yes. Some are even outright sexual fetishists experiencing arousal when dressed as women. Other trans people are gay people looking to escape homophobia. Others are neurodivergent people, or sexual abuse victims, ill at ease with their bodies and promised peace if they transition. Some transmen are girls looking to escape male attention. And some trans people have something weird going on in their brain that creates a disconnect between the reality of their body and how they see it (for a comparison, think of anorexic girls who see themselves as genuinely fat even when they are objectively underweight, for example).
Great summary. The "trans" alliance is varied. Some are harmless. The problem is most of them will do zilch about the dangerous predators in their ranks. The ones that do take a stand on that are rapidly ostracised.
That coverup is ending.
The fact it is complicated doesn't actually matter. Religion is complicated. It still is not cruel to religious people that atheists exist.
So none of the males get to be in women's spaces now. Simple workable solution.
This polycule is perfect proof why our side has to win. These men are massive sexist pigs. Just listen to them.