Here's one solution; call the neighbor, tell him that his damn dogs won't shut up, and that you want them to quiet down.
Here's another solution: call the cops. Doubtless your town has a noise ordinance, and in enforceing it they'll make sure those dogs have all their shots, too.
Here's a third solution. Get a live trap, put some peanut butter and such in it, and keep checking and rebaiting it until you get yourself a nice fat raccoon. Then wait until those dogs are barking well after dark and throw the raccoon over the fence (wear thick leather gloves). They'll probably kill it, but they'll get all bit up and there'll be a nasty mess to clean up. The owner will get the hint.
Have you ever shot a racoon? It's not something you want killed in the yard next to yours.