Larry, where are you getting these ideas from? These are really sweeping generalisations you are making.
Nice layman's article in National Geographic:
news.nationalgeographic.com/news/pf/66610441.html
'Some research has suggested that the practice of dividing labor according to sex dates back as far as two million years. But the new study suggests the changes didn't occur until the upper Paleolithic period, which lasted from about 45,000 years ago to 10,000 years ago. "We argue that the typical patterns of labor division emerged relatively recently in human evolutionary history," Kuhn said...
As in hunter-gatherer societies of the recent past, men likely hunted large animals while women gathered small game and plants, enabling a more efficient use of available food sources. When small game and plant foods were scarce, women and older children were often involved in other vital activities, such as producing clothing and shelter...
The scientists point out in their study that gender roles were not always the same in early-human cultures, and there's nothing that predisposes either sex toward certain kinds of work. "That women sometimes become successful hunters and men become gatherers means that the universal tendency to divide subsistence labor be gender is not solely the result of innate physical or psychological differences between the sexes; much of it has to be learned," the authors write...
The findings, he added, should not be taken as a justification for the separation of roles for men and women in contemporary society. "We shouldn't look to the remote past for clues about how we ought to behave today," Kuhn said.'
In a nutshell: the fact that modern humans developed a sex-based division of labour may have given them an evolutionary edge over earlier humans, and perhaps this helps explain the embedding of patriarchy in early human societies. But this division was not based on physical characteristics, it was learned behaviour.