It seems to me as though trans activists are fighting the wrong fight.
The women's rights movement has widened society's expectations of how a woman can live. Thankfully now women can wear what we like, have our hair however we like, pick any career we like (obviously I'm massively over-simplifying here and we still have a long way to go) and any move into traditionally-male areas is seen as a good thing because girls aren't being held back by gender stereotypes.
But I don't see it working the other way yet, and I think THAT is where trans activists should be focusing. If men were more free to behave in a traditionally-female way without everyone assuming they're gay, without facing physical violence and verbal abuse in male spaces like toilets and changing rooms, then surely there'd be no need for them to identify as women. They'd still be men but within a wider, less traditionally-defined behaviour spectrum.
Our idea of "men" needs to expand to include men who don't want to be confined to a narrow idea of how men should look and act. That's where the real problem lies. But it's VERY difficult and understandably a frightening prospect to change other men's minds about what how men should be. Women had a hard enough time and still do.
So I can understand why it's easier to bring the fight into OUR arena. It's easier to say "We want to be accepted as women. We want to come and enjoy your safe spaces" but it's really shying away from the issue at the heart of it all.
Imagine if the Suffragettes had gone down that route instead. "We want to be seen as men from now on" instead of focusing on improving women's rights and opening doors that were closed to us before.
I think the whole "feeling like a woman" argument is a red herring.