On the subject of self-segregation I see a problem too.
Should someone burst into Costa whenever the nice girls from the med school are sat around discussing prom dresses, or whatever it is med school girls discuss, and insist that if they don't have at least one man on their table they can drink their coffee elsewhere? Whenever Chinese students gather in exclusively Chinese groups, not speaking English, they should be forced to include at least one home student on pain of not being allowed to buy overpriced sandwiches in the campus food outlets?
Are you seriously suggesting that people should not be allowed to decide who to sit with at lunch, say, for fear diversity targets aren't being met?
It's all very well saying that woman might happen to sit on one side of the room, just by chance
It wouldn't be by chance. It would be by choice. This isn't some sort of care home for the vulnerable, it's a university where as a starting supposition the students and staff can be assumed to be capable of independent thought. Whom are you attempting to protect, and from what? A group of women decide that they want to sit separate from men. Are you saying that they shouldn't be allowed to, because you're worried that they might be being secretly forced into it against their will? Isn't that exactly the "ban the burqua" narrative (they may say it's a choice, but we white people know that they're misguided and should be protected from themselves)?
I find the absolutely abhorrent behaviour of extremists just as unpleasant as you do. But essentially telling people that they're not allowed to follow the precepts of theologies we don't like because, well, because we know better, is hardly a liberal position.