It depends where I plug 'em. Closer to the house or barn or in a pasture, I'll move them way out and/or bury them. But if they are on the back 40, I'll leave them.
We have problems with neighbors dogs too. I remember one time a pair of bird dogs from up the road chewed a hole through a chicken wire fence and were inside the pen killing chickens. I cornered one and killed him with a 12 ga loaded with #4's. The other one was able to escape but I got him really good as he high-tailed it down the driveway. They killed about a dozen birds before I got out there to see what all the noise was about.
And my sister had her year old blue heeler, what was going to be a working dog, killed by a pair of chows belonging to a meth-head who lived a mile away. Those dogs are now long gone.