wrong, desire for these things makes one LESS alpha. in fact, I almost all of the trully alpha men I know are introverts. being alpha male is about doing your thing regardless of what others think and not being affected by them. it is the absolute absence of submission to the will of others.
I admit I explained it poorly.
Altough I believe anyone with a conscious motivation and confidence (which can be gained as well) can achieve alpha status, the motivation I talked about is mostly unconscious.
You probably have a different alpha concept than I do. I consider alpha the guys that are leading people, and beta the ones being led. When you aren't around people too much, you aren't leading and being led as much. Confidence is just a factor. And by the way, between humans, real alphas are expected to take care of the group's need, and not to be a parasite.
Nonetheless, if you are assuming being alpha equals doing your thing and not being affected by other people, then I agree with you, as introverts are more likely to be neither leading or being led, unlike non-alpha extroverts, which will be being led more often.
I was avoiding mentioning that because things would get pretty chaotic, but in the end, alphaness is a totally relative concept. The guy I call alpha could be classified as beta in interactions with his bosses, his parents, or really anyone more dominant than him, and it's common and natural. Picture a guy that is the leader among his friends but is the janitor of a enterprise. Do you think he will be displaying a dominant behaviour around his boss? I'm not saying he will lose his confidence, but I doubt he will be dominant if he wants to keep the job. Which makes the boss the alpha in the situation. Same thing may happen when my alpha buddy is competing for a woman with Brad Pitt, my friend will likely get beta around him.