I do not believe is separate but equal. It never works. It always creates an underclass of less thans
That's a convenient point of view from the trans perspective because it dismisses out of hand that women can have the right to their own spaces. 'You can't have separate spaces because ours would be lesser than'.
Actually when you look at many transgender writings, the whole 'we're women, you're cis women' thing is already busy creating an underclass and surprise surprise, the under class are the ones with vaginas and ovaries.
It boils down to a basic point of disagreement.
Point A: There is an ideology that a man is a woman if he identifies as one, therefore born women must be permitted no boundaries that exclude them because feelings of rejection, invalidation, being lesser than.
Point B: It is not possible to change sex. Women are a biological fact, their oppression is rooted entirely in their biology. It can be fully respected that someone's gender identity and biology do not match, that they prefer to be socially treated as the opposite sex, and in most situations can be treated as the opposite sex. However there are some situations in which women as a biological class have the human right to safety, privacy, dignity, to assemble without the presence of men, to change and toilet and receive intimate care only from someone of the same biological sex and should not be deprived of this
You're right. They are not compatible beliefs. They can't be.