I am sorry, but this attitude is sexist. My allies are those I can relate to, those which I can cooperate with. I don't pick my allies based on gender, and nor should you. And you shouldn't coerce anyone into forming alliances based on gender. It is the person that matters, not their gender or race or whatever other random attribute.
Its sexism all the way down - Sandberg would not have done that to a male subordinate (who's wife was giving birth) and a male boss would not have done that to Wynn-Williams.
Women should not discriminate against women in the workplace because they are women.
I'm not sure whether men are truly better on average, or women are just on average more conditioned by our societies not to do so or even if, to do so in a manner that isn't effective.
Unlearning ~2 decades of upbringing, education, expectations, some of that from religion, etc when entering the workforce could be pretty hard and significantly affect any statistics around this.