I would also add here Norway as the prototypical example. Norway is not only a mostly homogenous society with extremely low inequality, but is now considered arguably the most gender equal nation in existence. But the interesting thing is that this does not translate to an equal proportion of people in every single activity -- or even remotely close to it. What they found is that when working to actively push people into careers that would not normally fit gender "stereotypes" there was a small and relatively constant improvement. As soon as that push was relinquished the numbers would trend back towards the pre-push ratios. The point of this is that even when given completely equal opportunity in a completely equal society, different groups trend towards different things.

This whole notion that everything and everybody is identical with most, if not all, differences being the product of some form of ism or discrimination of some sort of another is a very new, very wrong, and very dangerous belief. The only way you're going to achieve identical outcomes is by pushing society towards a dystopia as it would entail either preventing those who want to do x from doing so, or by pushing people who do not want to do x into doing just that.