I'm a relative newcomer to this issue, and have genuinely been trying, in my relatively mild-mannered way, to gather information and engage with people. I've found a lot of difficulty in doing that. This is a pity, because I've been very shocked at the way my views have changed from liberal support of trans rights to extreme concern at the erosion of women's rights, and, as I said, wanted to have my fears allayed.
I've seen a lot of aggression on both sides. But so far the only non-aggressive, reasoned and factual arguments I've seen online have been on the gender-critical side. On the trans-affirming side, so far at best it's been subjective, emotive arguments without any backup, or sloganeering ('Trans women are women. Period.'). At worst, it's been threats of violence.
The only reasoned discussion I've been able to have was with the trans person I mentioned above, a friend IRL. I disagreed with them but didn't feel able to say so, partly because they have severe MH difficulties and react very badly to being disagreed with. This unfortunately holds true for all the trans people I know IRL.
I'm really not convinced that it's aggression on the gender-critical side that is shutting down discussion on this issue. And I already can imagine that, after a long time trying to have a discussion and being shut down, I would be angry as well.