I would suggest that you dont address either one as the alpha. Give treats at the same time so you are not selecting who is alpha.
Basenjis always challenge each other for alpha in my experience. It is just a natural thing.
Caesar was added to our family as a puppy. Beta was the same age and added when she was a year and a half. They ate together, sat on top of each other and slept together.
The rescuers told me it takes about 6months for a rescue to adapt to the new home.
6months later, beta became food aggressive with treats, peeing in other rooms, and snarfy with Caesar while sleeping.
I talked with a trainer and he suggested keeping them seperate at night and feeding seperately so they have thier own space. It worked and they always played well together after that.
I have a large wire dog kennel that has a splitter in the middle. They used to be in the giant kennel together, now I have the splitter in. Not a peep and they always played well after I gave them their own space.
Caesar has definately displayed jealousy now that Cairo is in our home. When I see the jealousy I will take them on walks seperately giving them each attention.
Let us know how it goes!