In fact, if women were truly wired better for this, men would not have been able to do anything about it.
By and large, men are physically more powerful -- by a very large margin. Over the vast majority of history, that physical power has been both a key factor in survival, making the male indispensable to the household, and consequently a means to dominate the family unit that could not be excised -- at the same time, it isn't something that depends upon superior cognitive function.
It is only (very) recently that females have become broadly able to support a household without benefit of a male presence. If women are to dominate due to any particular cognitive advantage, they've only just entered the race and it'll most likely be some time yet before we see the results, both due to cultural inertia and learning curves.
There's no telling what women may be capable of as yet in terms of exceeding male performance; they've barely had a few decades to try things on, and they're still being held back by religion, chauvinism, and the divisive backwards ride that sexual-role focused feminism took them on.