Tough call. If you can catch his dogs on your property call the Sheriffs out and they will impound them as stated above. The other owner could be given a ticket for a leash law/animal at large type of violation if your jurisdiction has those. I hate difficult neighbors. I live next to a nightmare too, and I don't have 5 acres. They must have 300 people in their family and they all come over every day of the week. They always park 10 beat up held together by tape cars in front of my house blocking my driveway. It got to the point where I would park my 3 cars out in front of my house and just leave my garage empty. It seems to have given them a hint for now but it's always something. They are constantly yelling and carrying on.

Anyways, sorry to get off topic. I'd recommend keeping the law involved. Worst case it will help you in civil court when you have multiple police reports to bring along with you.