Our neighbor's have a pool + a silky = LOTS OF BARKING!!! It is very annoying!! However, we tolerate it. I wouldn't call the cops for barking.
However, on a similar note, the other neighbor used to let their dogs out twice a day (unsupervised)and they'd come poop on our yard. I tolerated that for two years - until the dogs pooped right outside our back door one morning. I called animal control to find out information about the leash laws (I was told no leash laws outside city limits???). The operator couldn't answer my questions, so I had to leave my information and they were to call me back, but instead Animal Control went directly to the neighbor and said if they didn't watch their dogs more closely, they'd get 'em picked up. Ugh!! That's not what I wanted - I wanted to talk to the neighbors first.
Anyhow, I believe with some training, you ought to be able to curb the barking some. Tell them to stop barking, if they don't stop, put them in the house for a few minutes, then release. Repeat as necessary. Plan a couple afternoons (or more) of training. It won't happen quickly, but like potty training, with consistency, you will see results.
Good luck!!