I don't care what their reasoning is

They aren't using reason is the point.

Segregating spaces is a thing we can accomplish tomorrow and immediately reap the benefits of

It's going to take much longer than that and there's no real benefits to reap. You're solving the problem at the wrong end.

And then Feminism cries like women do, and the Arabs are right back in the country next generation anyway.

Ah, so you live in fantasy land, that makes more sense.