Cascade,

If you hunt with dogs, you will have one hell of a time convincing me that they have never "tresspassed" by crossing a fenceline or going on the wrong side of the road onto ground where you don't have permission to be.
Under those circumstances, would it be acceptable for a trigger happy landowner to give your dog a case of lead poisoning?

As for shooting dogs, if you honestly think that they are endangering game, livestock, etc., then yes I think that you have the right to shoot them. But, there are simply too many jerks out there who are willing to shoot any dog that comes anywhere near their deer stand whether they are on their own land or not. Those of you who think otherwise might find more sympathetic ears in the deer hunting section[:'(]