"Traditional" masculinity indicates patriarchal masculinity - I should have been more clear about that. It has nothing to do with how men "naturally" are. In fact, it's fairly antithetical to a lot of human nature.
In the animal kingdom, females generally choose who to mate with. There is very little forced copulation (although not none). I think your genes would've been just fine in a "jungle" environment. The notion that you have to be the biggest and the baddest is just more patriarchy trying to justify itself.