I don't know what you mean by inherent here.
If you mean, are males born with some kind of predisposition to act in a violent way to other human beings, then no. Masculinity refers to rules imposed by society.
But we live in a society which has come from a long tradition of males using violence to oppress other human beings, including women. Competitive violence is coded as masculine in our society and very many others, and seen as superior to feminine traits like compassion. What masculinity entails already exists. We're not starting from a blank state.
Creating a non sexist society is not just about saying, all these different social ideas exist, let's just let men and women do all of them and that's fine.
We have to actually scrutinise the values of masculinity that have moulded so many activities that already exist. It is a very good thing to learn self defence. I don't think it justifies accepting that a sport exists where humans kick each other in the head, leading to injury and death of athletes, and we watch this as a competition in the Olympics, or pretending that doesn't exist because of our masculine history.
I would never have raised either my son or daughter to watch or participate in such a sport.
What's wrong with masculinity isn't primarily that it teaches boys and girls to be different. It's that the values of masculinity are ones that no human being should hold, because they're designed to harm and control other human beings.