Back on topic - I think there's an unwillingness on either side to accept that the status quo is always a house built on sand. Trans activists crow about the right or wrong side of history as if all the rights and acceptance so far is guaranteed forever.
It isn't.
Same for us homos - the political pendulum can always swing back. You could name any minority group - acceptance, equality, visibility, whatever positive aspect of the status quo you're talking about, it can be reversed. The worst of that group poison the public against them. The public start thinking for themselves, or worse, are guided by the opposite faction. What happens? Well it depends but it's never good.
The problem is that the recognition of this fact makes one sound a bit wet. Zealots want to keep pushing, like gamblers chasing a bigger win. The house always wins, they lose their money, and those who pushed it too far are remembered for all the wrong reasons.
Most of our "progressive" laws were made against the wishes of the wider electorate, who "caught up" much later. The decriminalisation of homosexuality had no popular support, for example. Most people now are accepting of gay people - but is that through living and working alongside us or because Peter Tatchell staged some protests? It's not a rhetorical question, I don't know the answer. I suspect softly softly catchee monkey is a better approach (and encompasses more reasonable people who want to live their life, not force their way of life down everyone else's throat). However even softly softly doesn't work in a binary problem with a yes/no answer. Most people are quite sympathetic towards trans people but the number who believe they are genuinely their chosen sex is tiny. Built on sand. If this gets pushed too far the backlash will be felt by trans people, gay people, and anyone obviously non-conforming. They are putting us at risk with their unreasonable demands, their childish petulance, and their inability to see themselves as the tiny minority that they are. We live in a mostly straight world. As much as I've known homosexual people who want to live in a little gay bubble, it's not possible, even with the largest of ghettos. We live amongst others. We have to be mindful and respectful of that. That's what galls me about the TRA angle. They stomp around thinking they own the damn place.