Okay, so we should ignore our differences? I can tell you that physiologically, woman have evolved to be better nurturers of baby's then men. Heck, I can't produce milk! I demand equal right to milk production! Wishing away our differences doesn't make them go away. Does that mean we should carry over those stereotypes into other area? Heck NO! Just because "women" are more nurturing than "men" doesn't mean that an individual "woman" is more nurturing than a "man". Recognizing that difference is important. Also, should we have all athletes compete together? I mean, we're being sexist by creating separate leagues for women and men, right? (tbh, women can compete in many men's leagues if they make the qualifiers, but not vice versa). We should just get rid of sex based sports all together and just have leagues dependent on how good you are. I'm quite fine with this.
I guess my point is this. Recognizing differences and telling someone they aren't good enough are two completely different things. I can say that you are part of a population that is better suited at lifting weights than another segment of the population. That isn't really useful information in determining how good you are at weight-lifting. You could be the worst of both segments. But it does help when looking across the population at trends, and doing marketing, etc.
On a related note: My high-school had to conform to title 9 which meant sports that women wouldn't join (american football, they were allowed in, but wouldn't join) had to be offset by sports that men couldn't play (volleyball, which I wanted to play), we had a petition to open up men's or co-ed volleyball, but it didn't go anywhere because there were already all the women sports the girls had interest in.