For what it's worth, I have noted that in households with a strong human leader/boss/alpha/disciplinarian (pick one!) there are less squabbles among dogs, at least when the human is present. My neighbour has Rotties, had two bitches that hated each other and would fight, but they didn't do it when she was around. She did have to be careful that they could not get together in her absence. 😉
Interesting anecdote: If my mare is bothering my old gelding and I notice it, I can break it up by yelling at her out the window! Guess I am "alpha" in that herd.