@"i.e. men are in positions of power historically because men are physically stronger on average, meaning they took on the roles of fighter, hunter, etc., which evolved into the concepts of Chiefs, Kings, and so forth"
Men are in power because patriarchy. But lets look at the two closest living animal relatives to humans. The bonobos and the Chimpanzee. One is a patriarchal society where males rule, the other is matriarchal where females rule.
There are a variety of differences between these two species, but both are more closely related to each other than they are to us. So i think it is highly useful to understand the social structures they exist in, rather than refer to the 'nature of man'.
I will quote some wikipedia here: "The common chimpanzee has an omnivorous diet, a troop hunting culture based on beta males led by an alpha male, and highly complex social relationships. The bonobo, on the other hand, has a mostly frugivorous diet and an egalitarian, nonviolent, matriarchal, sexually receptive behaviour. Bonobos frequently have sex, sometimes to help prevent and resolve conflicts. Different groups of chimpanzees also have different cultural behaviour with preferences for types of tools."
These are both what i would consider 'successful strategies' - Human culture tends to be more complex, as we use symbolic language. But when it comes to simple things like how much bigger and stronger males are than females. It does not make sense to simply assume size differences lead to males being in charge.
It is entirely possible for males being in charge to lead to size differences, based on sexual selection. (ie not natural selection)
Anyway, male adult Chimps are about 52kg on average, while females are 38kg (36% larger)
For Bonobos, this is 39kg for adult males, and 31kg for adult females. (25% larger)
Humans are 86kg to 74kg on average, (males only 16% larger).
So the evidence seems to point that being larger doesn't make your culture leave the males in charge. (though modern availability of food in human societies has probably had a big impact on these kinds of figures.)
There are types of animals where there is huge sex differences, (gorrillas are 83% larger males) And there are animals where the males and female are almost exactly the same weight. Humans are somewhere in between.
I don't know what conclusions you draw from this.