Do you sometimes worry about trying to be perceived as the 'Alpha' of a social event, class, school, company etc...?

In any social situation I'm in, I try not to overthink things but I eventually do. If I consciously make an effort to be seen as an 'alpha', I feel like it's too fake, because it is. So then I say I don't care, but that turns me into someone too passive and I don't make any effort in being the center of attention, someone interesting.

I keep teetering between these two mindsets and get too concerned trying to be 'right' according to myself. I'm sure you guys encounter other genuinely alpha guys in certain places so how do you deal with it? How do you not become a jealous bitch and respect the dude for being confident, if possible? Like I said, I don't want to become too passive and accept him for being the true masculine guy, but I don't want to become oo aggressive because that just now shows my self-consciousness.