Yes, I'm aware of this mentality and am trying to avoid it. Is it advisable to go talk to other surrounding farms to find out where the flocks are and to explain that we're not purposely letting our dogs roam? Let them know to call us and we'll come get the dogs if they end up in a neighbor's yard? We are new (6 months) to the "neighborhood" and I want to be on friendly terms.
There are several things that you need to think about here.
1. You want to be on "Friendly " terms - Strong fences make good neighbors, no kidding. Fence an acre to turn them out in.
2. You don't want to have to worry about your dogs getting hurt - your neighbor does not want to have to worry that he may not be home when your dogs come to call, that he may find them to late or come home to find birds missing and wonder if your dogs have been there.
3. You say you are not "purposely letting our dogs roam"- If your dogs go out the door and you are not supervising them at ALL times while they are outside then you ARE letting them roam. You know that your dogs are not Boundry Trained, fenced, chained or otherwise restrained. It would be like your neighbor letting his goats run loose and eat your wifes prize roses or jump up on your car. (call me if you come out to find my goat standing on your car)
4. An ounce of prevention is worth a pound of cure - If you don't allow your dogs to roam you don't have to worry about them harrassing someones stock, so the neighbor doesn't have to worry about his stock and you don't have to worry about your dogs getting shot.
This makes for some very "Friendly" neighbors. By all means visit and get to know your neighbors, take your well behaved leashed dogs with you so your neighbors will know who they belong to "IF" they happen to see them out. Do not make your neighbors responsible for your dogs.
Least you think I don't like dogs. I raise and show a large mastiff breed and have 5 to 8 at any one time. We also do lots of rescue of large and small dogs, we own 3 chi mix rescues, and 2 Cavaliers, several fixed barn cats, 2 horses, about 70 free range chickens, a few guineas, and boarded dogs in training. Our back pastures are field/livestock fence and kennel/training areas are fenced. Our front is not fenced at all and several of our personal dogs run loose at any given time, they are boundry trained and here to protect our stock. Livestock fence won't stop the big or small dogs, ours or yours.
You say you are "aware of this mentality". Are you refering to protecting ones property from a dangerous intruder? (FYI in a rural area any dog off it's property and in proximity to someone else's stock could legally be considered just that, especially ones found with dead chickens in their mouths.)
Nothing wrong with that mentality, what is "not purposely letting our dogs roam"? You don't fence them, you let them roam full stop. We're on 14 acres, all fenced with multiple layers. Any dogs manage to walk/ sneak/ climb/ squeeze itself in here either will be greeted with by my dogs or if they're lucky, shot by me. We don't take chances with our animals, and we don't believe in any excuses offered for roaming dogs.