Alright you guys made me do it.
There is alpha A and alpha B.
I compare these to the alpha orangutan and alpha chimpanzee.
The alpha A (orangutan) is born alpha. They even grow the cool little cheek pads to prove it. This represents itself in males as such. These men are confident, calm, and often completely independent. They operate outside of the group, and rarely have to compete for status. They are inclined, and dont compete for status, because their alphaness is inherent. They pick a woman and breed. These men smell like cookies (see posts regarding ESTP ex).
These men are usually tall, broad shouldered. They walk with a certain elegance. While maintaining masculinity they are also not scared to look like idiots. They joke around, may be the life of the party, but then retreat into their man cave for every day living. They do not need. They can support, they aren't chumps. They usually trust people because they have no reason not to. Outgoing and confident, their magnetism draws in a plethora of diverse types of women. They are rarely affected by this. Do not become pompous, or egotistical. They treat women with respect, and leave most women thinking the best of them, even if they love and leave. Did I mention, they smell like cookies.
Alpha B. The Chimpanzee alpha. In nature the chimpanzees have to compete for alpha status. Any male can attain it, though the next man can quickly take it if faster, better, louder, stronger. They tend to have something to prove. Because they are competing for their status. They are usually very lively, loud, energetic, and charismatic. They are also very insecure. They have known, or will know the experience of being beaten at their own game. See alpha A never plays the game, this is where they trump the alpha B. This insecurity can take two forms. Finding a social circle that maintains their superiority, or a self centered view for self preservation. This is the lesser alpha, though, alpha never the less.
Don't get me started into the betas. Lol!
Edit: I will also add that the majority of women who look for alphas encounter the alpha B, which is why they get a bad rep.