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?