Our neighbors lack common sense and it is not unusual for their dogs to come into our yard. Mutual neighbors have complained a number of times about their dogs to the authorities, but not much has happened as a result. It is my belief that having neighbors who are openly hostile can be extremely unpleasant. Fortunately, we have a six-foot chain link fence surrounding part of our property, which includes the area directly behind the house, and we have done our best to sustain an amicable relationship with them.
Best of luck to you.