Being a Dominant, or Alpha Male, doesn't make you the HOH in your relationship or marriage.
When I look back at my first marriage, she was 17 and I was 18. I was certainly an Alpha male and a Dom but she was also dominant. However, if I'd been mature as well she would have melted in my arms and submitted to me. It's not just a matter of who is more dominant and who is more submissive, although that is a big factor, it's a person's level of maturity.
She was raised by a single mom and had a little sister so at a much younger age she had to take over certain responsiblities like laundry, dishes, cooking dinner and so on. Because her mother was working full time to support the family and her dad was out of the picture my first wife had to grow up soon and mature. I, on the other hand, didn't grow up having those responsibilities at a young age. So when we married we were right for each other but off when it came to equal levels of maturity. Thus, the marriage ended because of a wide variety of problems that later occured.
I suppose my point is that you can't be a Dom or HOH unless you're also mature and responsible. That along with being Alpha male is a huge appeal to women who are willing and wanting to submit and be in a DD/HOH relationship.