I absolutely agree with this and it is not about being a "alpha" male in the sense that a man has the respect of other men if he makes more money than them, or is a better athlete than them.
Any man can have the respect of other men if he has the personal qualities like have been stated above. It is in how you conduct yourself, and are you a man of honor.
If I can suggest it, it is the qualities/character that historically a man learned or built up during military service.
Here is story: in my old law firm, I was one of just a few women, and we would sit around and talk about all the male partners (all of whom were early baby boomers) and what was "wrong" with all of them. And as we went around the office, we came to one who was not: he was a good guy, a man of his word, funny, charismatic, and I went, huh, what could be the difference?
And it dawned on me: Jerry (the partner) was the only one who had been in Vietnam, or served any military service. All the rest were privileged, spoiled, college deferment guys, wily, could not be trusted...let's just put it this way: they were not men of honor.
So that is what I would say: cultivate values that are instilled in the US military, about service of others, honor, courage, responsibility, intergrity, and the women will absolutely notice.