This may sound a bit odd but think of life as improvisational theatre/comedy. In improv the major concept is "yes, and ...". Your goal is to listen and hear what the other person has said and add to it while also providing them the opportunity to respond in kind. I suspect you already do this with your team without being aware. We call this conversation. Consider that the well known people in your field are far more appreciative of the quiet competent individual than they are of the in your face person because it's the quiet one who is listening and learning. Recognizing a kindred spirit.Many, not all, true extroverts fear being overlooked. Those people you admire for their ability to interact were quite likely just like you. What they have going for them is experience. Your pushy bosses may actually view your quiet competence and success with your team as a threat. They may not have the same knowledge/passion/creativity and so cover for it's lack with "noise" to be successful pr at least feel successful. Relax, and just be yourself. If your team is happy you're golden. What your bosses do or don't is largely out of your control stop worrying about them. Chances are they will remain managers you have a different goal. Focus on that. You want to be the person that others will look at and say ... "I knew him when ... and he was always a great guy. He deserves his success".
I hope I've expressed myself coherently. I'm in the throes of a migraine and sometimes my thoughts become jumbled.