But you don't have the right to take a life just because that person violated your property rights.
Sorry fellow but these two statements, back-to-back, just don't jive.
Yes they do. If someone is breaking into your car, depending on state law, you can pull a gun on them and citizen's arrest them.
What you can't do is just willy nilly shoot them in the back even though you caught them breaking into or stealing your property.
If you are not in danger yourself, and they are not trying to flee after being appropriately warned, you have no right to make yourself judge, jury and executioner. To do so is murder in every state in the union.