I've had two ACD's in my life, and both were very dominant dogs.
Is your male neutered?
I would not say that the fact that your dog's barking is irritating your neighbors is "beside the point". I believe all pet owners should try to be good neighbors and not let their pets adversely affect others' lives.
Dogs, as you know, are pack animals with a strict hierarchy. There is always an alpha, a leader. Ideally, the alpha should be YOU, not one of your dogs. If your male dog perceives YOU as his alpha, he will stop barking/dominating if you tell him to ... just as the females now submit to him.
Have you tried the Nothing in Life is Free approach to training?
"We give dogs the time we can spare, the space we can spare and the love we can spare. And in return, dogs give us their all. It's the best deal man has ever made" - M. Facklam
"We are raised to honor all the wrong explorers and discoverers - thieves planting flags, murderers carrying crosses. Let us at last praise the colonizers of dreams."- P.S. Beagle
"All that is gold does not glitter, Not all those who wander are lost; The old that is strong does not wither, Deep roots are not reached by the frost. From the ashes a fire shall be woken, A light from the shadows shall spring; Renewed shall be blade that was broken, The crownless again shall be king." - J.R.R. Tolkien
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