Fighting makes a lot more sense in a tribe or in small groups/individuals of humans than it does now. A big argument with someone now will very rarely keep you from starving and will probably never get you a child. On the other, showing dominance in a situation where the women around you are choosing a mate out of 5 guys, will get you a lot more laid.
I haven't seen people who can get laid frequently getting into dominance disputes/fights.
There is a distinction between dominance which is assertive and aversive, and prestige, which is recognized and non-aversive.
Guys like Keanu Reeves, Tom Cruise, Brad Pitt have prestige which gets them (potentially) laid.
Women have more reason to be be attracted to a man if he is universally recognized to be awesome, than if he is all the time showing his power through small agonistic interactions with other people - males and females.
If Cesar had been universally prestigious instead of agonistically powerful, Brutus wouldn't have reason to kill him leaving an unassisted widow and children.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.