Of course there are.
I can only apologize for forgetting that irony doesn’t play well on the ‘Net. Of course there are differences. My point was political. It was aimed not at the research you have seen, which I suspect feminists would like to suppress, but at those feminists who I believe would like to suppress it.
The serious question is whether we can handle this truth. Men are stronger, leaner, and faster. Should combat units consist exclusively of men? Not because no woman is capable of combat, but because the disruptions of accommodating a mixed-sex fighting force are not worth the cost when an all-male unit is so likely to be more effective as a unit?
You suggest that sex has some relevance to effective leadership. There are certainly times when too much testosterone makes matters worse. But there are also times when too little ends in disaster. Male leadership has evolved because it seems to work best in a crunch (i.e., selective pressure) and crunches always come. Societies led by women have either never existed or, worse, have always been extinguished. A lone woman leader in a male culture is fine, but female leadership as a norm, maybe not so much. IMO, only the modern myth that there are no differences enables us to promote outliers to positions of authority.
There’s an old saying: Don’t marry for money; go where money is, and marry for love. Egalitarianism marries for money; gender specialization goes where money is and marries for love. I substitute “talent” for money and “socialize” for marry.” Many adult roles are performed best by people who train for them in childhood. By “training,” I don’t mean indoctrination, I mean practice. If men are faster and stronger, then shouldn’t we devote more resources to letting boys develop their speed and strength, including their sense of duty to use them positively?
That’s not a rhetorical question. Well, it is, but not on my part. I’m projecting the sort of rhetorical question that will be asked if you open the can of worms you are opening. I am not nearly as interested in whether there are relevant differences — we agree that there are — but on whether knowing so is a good thing or bad thing. There is much wisdom in the Bible. Curiosity is the original sin. Maybe the most telling words in the story of the Fall are these:
And the man said, The woman whom thou gavest to be with me, she gave me of the tree, and I did eat.
And the Lord God said unto the woman, What is this that thou hast done? And the woman said, The serpent beguiled me, and I did eat.
Neither of these ur-humans could own their disobedience. And that’s who you want to unlearn the modern myth that probabilities don’t matter? Just because they do? Good luck with that.