Plus, no amount of training disguises the fact that men are stronger than women for the most part. And physical strength is important.
It is important now. It was important 300 years ago. It will be important 300 years from now.
So make everyone have to pass a strength requirement. I'm not saying there should be equal numbers of men and women, and we should have different requirements or incentives to make that happen, I'm saying that gender shouldn't matter one way or the other.