Honey- you have the right to keep your dogs.. Complexes are hard, and I know it can get serious real fast. It is a option..
Now remember- this doesnt SOLVE the inward problem. The dog is still anxious when you leave but it does solve the problems with the neighbors. YOu will still need to work with things so the dog learns to relax when you are gone- but it does allow you to keep the relationship.
I know you love your dogs-..