Society as a whole is NOT equal to a tribe. And Justin Beiber certainly ain't my alpha. Even the famous musicians I personally look up to sure as hell ain't my alphas, they're just people who are just doing heir job really really well. There are plumbers who are also doing their job really well, and they don't get a 'higher rank' for it in my book... Heck, if Justin Beiber said that he was 'alpha' over people of my music subculture, he'd receive multiple death threats. Alpha = leader animal. Did Obama get elected as president because he wrestled Romney and won? No? He won, and he's STILL not considered leader by some of the guys who voted for Mittens. I think you need to stop looking at human psychology as if it was a simple thing, because it sure as hell isn't.
There aren't any alphas. There are no betas, and no omegas. It just doesn't work like that in human societies - and it's certainly a LOT more colorful than that in other animal species as well.