I Don t have the time to quote the person I am responding to, but recent history already have proven you wrong.
There are biological differences between genders (like the breeding stuff mentioned earlier), but those biological features were more impactfull in the past than now. There is no need to breed as much as before as victory is no longer decided by the size of the army. There is no need to have hulk-sized people to ruin their health and capacity to breed. Being uber strong is now a thing for bragging and sport event, not for practicality. There are tools, machines, regulations preserve the health of manual workers.
The role of genders already started to Change. It started to change with modernism, new waves of thought, industrial revolution, Hiroshima, overpopulation etc... changes that took a few decades/centuries, but feel like 5 minutes, compared with the thousands of years of segregation. And guess what, this is within that context in which breeding ceased to be as much as an issues that women rights started to increase, same for homosexual. Had the world not undergo those changes, those peoples would still be confined in a limited role or outright persecuted.
Of course, those evolutions only started recently ( in the scale of world history), so there is no way to say that it will suddenly stop to evolved. Sure, the gender have different features, but in the current modern world, those features no longer matter to define their role in society. All that remain if the thousands of years of propaganda to justify those roles, and every new years see some of those old habits disappear. ( while some reappear in some troubled areas). It isn't far stretched to imagine that in a few decades/centuries of stability, the genders roles will be much closer to each other than they currently are. At the people will laugh at our sexism when they will see that very old thread. Look at all the progresses we made in a mere century. I expect no less going forward. ( provided that we still have that stability)