How do you live without private property? Do you own a house? A computer or smart phone? Clothes? Tools? Or do you live in a cave like a cavemen? Even cavemen had property, the tools made from wood and stone, the food they gathered or hunted, and the cave they lived in...
How do you live without any property?
It's just stuff, really. We don't have to go inventing categories to justify violence.
So, if I picked your pocket to steal from you, you won't feel justified using violence in self defense?