"Gender critical feminism is, at its core, about morally mandating trans people out of existence. Those are the stated goals and original intentions of this movement. " That is patently false. There are no stated goals of this "movement."

"Gender critical feminists ally with right wing groups and certain cult Christian sects" Some do, yes. I vehemently disagree with this approach.

"in order to remove reproductive rights" I have never seen an example of this.

"That’s like saying you can be a moderate Nazi." The Nazi analogy is very played out and downplays the horror of the holocaust.

Long hair is not a social construct. Long hair is the default. Short hair is a social construct (and often inconvenient and expensive to maintain). It sounds like you are saying that hair styles are an intrinsic part of gender identity, which frankly, would align you with the views of some gender critical people, more than trans advocates. Ask yourself why you think that having long hair is a sign of a female identity. It is not. There are trans women with short hair. There are cis women with short hair. There are trans men with long hair. There are cis men with long hair (including my partner, who is most certainly not part of a niche culture). Furthermore, there are plenty of gender critical feminists with short hair styled in a typically masculine manner.

"Everything is a social construct and nothing really matters to you" is not my argument. Do you believe gender presentation to be an intrinsic, unchangeable part of identity? That would align you with the Christian right, not with either GCs or trans theorists.

I know I am a woman because I have a vagina, breasts, and a period, and I have never been diagnosed with an intersex condition.

"why are you arguing with me about cutting your hair" Because your suggestion that hairstyles are an intrinsic part of womanhood or manhood is deeply offensive to me.