Fun fact, there are nearly no Animals who life in groups with "real" alphas, especially not Wolfs, maybe you can say Elephants where the oldest (most of the time) female is the leader (however that is because she is the most knowledgeable (location of waterholes, food etc)) and not because of her Character or "i want to be a leader" mindset.
There is one exception that comes to my mind with "real" Alphas and those are Gorillas.
Raw dominance is the dynamic governing primitive social animals.
Chimps are a bit smarter, and would collaborate as a group to beat up alphas that they hate.