Sexual dimorphism in humans is real. There are sex differences and they cannot be overcome except that they are eliminated altogether; the result of which is less than human. But it is not as pronounced as in other mammals. One poignant example is that no other male mammal spends as much time caring for offspring as human males. Maladjusted and bitter feminists gripe about leaving women behind to care for the children, but men are the most tenderhearted males in the kingdom. A man is more womanly than a lion is lioness-ly. He’s also more godly; since women are also made in His image. The inverse is also true.
The division of male authority and female desire is not absolute. Men have desire too, and women also have authority. For the sake of ease of memory, think of it as another example of the Pareto Principle: 80% of a man’s decision-making is in reference to his authority, and 20% is influenced by his desires. The reciprocal is true for women: 80% of choices follow desire and considerations of authority make up 20% of their M.O.
I’m far from the first to recognize this: Taoism’s yin-yang concept is apt. The difference between my view and the Taoist view is, I think, that the yin-yang is egalitarian, and my view is patriarchal. The circularity of the yin-yang symbol is fundamentally egalitarian; each side chasing the other and going nowhere. I submit that there is an order: Authority–judgment–should rule desire even as desire provokes judgment, and that we should desire to go up, towards God and His authority.