And yet almost all the rest of the world has these rules, and we don't see crime waves.
To me, you're describing the incompetence of your police forces.
> thieves steal a car, ram it into a store,
This is really considered a non-violent crime in the US?
I live in a city where car chases would be impossible. And yet there are criminals here, and they have a higher apprehension rate than in the US.
If this crime happened here, they would use drones, helicopters and roadblocks. They get way ahead of the escaping criminal. The different police departments cooperate well here, so you can't just drive to another area.
Which is why, generally, criminals dump their car almost immediately and try to escape on foot.