Reply #1: Short answer -- yes female bitches can be alphas

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Alphas are both male and female.

In the wild -- wolf packs are lead by an alpha female and an alpha male. I have a friend who observed Wolf Pack behavior (play behavior) and wrote her M.A. thesis on wolves.

You may need to feed the dogs in separate rooms -- if this is possible.

And yes -- fighting over food is normal.

Also you need to let your pack know that you are the alpha -- and that you won't tolerate any attempt to displace your role as pack leader.

Once when we had two dogs and a bunch of puppies -- each dog was trained to sit and each was given a treat in turn -- and only in turn. Each dog had to sit quietly while each got a treat. They learned that indeed each would get a treat and the better they behaved the more treats they would get.

We had a doberman who thought she was a poodle and a mother poodle and her puppies. (Five dogs -- who all learned to sit and mind their manners in order to get their treats.)