I haven't studied psychology so I don't have any concrete answers for you. I think it's great that you understand WHY you get upset. I would recommend speaking to a professional counselor for tips on how to overcome that.
Manhood and masculinity are wonderful things. Your task must be to find positive ways to express them.
This may not be a long-term solution, but perhaps you can try to put yourself in the other person's place. Most people who cut you off are not doing so on purpose. They aren't thinking about YOU at all! They are in a hurry or they weren't paying attention. I try not to cut people off but on the rare occasion I do, I'm apologizing to the person the whole time, only they can't hear me.
You could also try using a technique called "death meditation." Imagine that you have exactly two hours left to live. Do you want to spend your last two hours being pissed off at somebody you don't even know?
About using the term "girlified": What you really mean is that you don't like being put in a position of being arbitrarily submissive to another man, a position that women have, historically, been consigned to. Well women don't like it either! I just wanted to point out that feeling stepped on isn't, or shouldn't be a gender issue. It's no more right for woman to "made somebody's bitch" than a man. If you don't already, you may want to keep that in mind when dealing with women. You can now identify with how they feel.