Those are beliefs vs identity, a particularly tricky subject. The problem is when, I for example, don't see it that way; I see many of those "identities" to be beliefs also, beliefs about self.
As an example, to a Creationist, arguments about evolution are about identity - there are few boundaries to which subjects people involve their own self-worth/identity. A similar argument arises wrt trans people and the various proposed categories that have arisen - simply saying "this is who we are" is not enough, since exactly that is what is debated.
That said, I suspect you mean "you can't welcome both women, and people who hold anti-woman beliefs". But the labeling of any belief is itself a belief. Some of those idea you call "anti-women" can both be considered not anti-woman and be held by women e.g. not all feminist believe sexual content to be harmful to women, or the idea to be productive.