Why are you uncomfortable with the change starts with you paragraph? Genuinely curious as it's respectfully suggesting an attitude change towards others. I see far too much bile and hate from people who think it's acceptable to demonise women for not being on board with the TWAW.
Of course, it's never right to blame victims. But I'm thinking of all the times I've joined a group - a new workplace, a band, a choir, a friendship group... you do it slowly and carefully and mindfully.
You sit back, you observe the dynamics, you try to 'fit in' in the best way you can.
What you don't do is stride in and make demands and shout down people who've been in that group for years.
I mean, you can do that, and I've certainly seen it happen, but those people aren't welcomed into the group particularly and are often disliked.
I do agree with the comments about behaving like the gender you're wanting to join because it appears to reinforce strict boundaries stereotypes. But I suspect that what they are getting at is "if you want to be accepted into the group of 'women', then behaving like and angry, violent man ain't the way to do it.
I can see why people are objecting but, tbh, I suspect those same people would object however it were phrased.