The whole alpha/beta male terminology is kind of dumb since a lot of people argue all the so called alpha males are all violent criminals in prison and there's nothing but sheep outside the fence.
The only real place the term applies is "the manosphere", but even there the term doesn't work that well. Even if you're the ideal man every woman wants, a lot of women will still not approach men, so the man is still left playing the woman's game of having to put the ball in their court no matter what; unless you live in the 3rd world and are just some type of alleyway rapist.
There's also the fact anyone who is an alpha male likely never uses the word alpha male in the first place, and using things like force and not reason would be another hallmark trait - meaning just a dumb animal since the only thing that separates humans from animals is the ability to use tools.
If you can craft superior tools to easily defeat someone that uses only blunt force, then who is the real alpha male?