If we still are a Constitutional Republic, no one has the right to come onto your property and shoot your pets, members of your family. A "real man" would know that by definition.
Can an officer in hot pursuit crash his/her vehicle into other vehicles, bystanders, those in crosswalks, jaywalkers or do their rights somehow get in the way of that LEO's in hot pursuit rights to that win at all costs?
How much damage is okay until you've crossed the line and you're just as bad as or worse than the perp you're chasing?
It really is how you play the game, especially once you realize the game is just a test.
I have no use for bad cops, the rambo type.
What you describe is not at all the same situation that happened in the case posted here.
In this case, the cop saw the kid climb the fence and knew he was there.
So the property owner actually had already been invaded by the kid.
And for all of the big mouths posting here about how they will fill cops full of holes that trespass, it should be pointed out that trespass is not a defence against prosecution for killing.
In most jurisdictions, even the commission of a crime on your property other than a crime involving rape or attempted murder, is not a defence against prosecution for murder/killing.