I'm going to duck out - having only dipped my toe in.
Unfortunately we have a position in this country where the media like to position 'opposing views' as 'equal and opposite views'. In this case, they are not. I think that the activities of 'mothering' and 'fathering' as in the activities that individuals do to look after children, and the way they go about these, are actually a moot point, and not relevant here.
But it is women that carry and give birth to children. Women that, as a class, often experience discrimination because of this. Women, as a class, that require specific types of healthcare and social protections because of their female-ness.
Dress how you want. Love who you want as long as its legal and consenting.
But let's not ever lose the facts around what being female / a woman / a girl actually are.
I've often thought that you should try to tell a dog breeder that his or her prize bitch isn't female, or that the sexes of his or her best breeding pair are somehow on a spectrum. See how far that gets you. The difference there is, you can put a price on a breeding animal. Women have been seen as cheap and disposable since the beginning of time.