New York actually does have a points system, but since they're tied to the driver's license rather than the car itself, you only get them if you're actually pulled over, not from cameras. Within NYC there's a fair amount of camera enforcement, but comparatively very little by the police directly, so drivers whose licenses might otherwise be suspended via points are still driving around.

The mechanisms for keeping people off the road are also just weaker in the US—I believe the penalties for driving with a suspended license are comparatively lighter, plus if your license is suspended you can often still get a "restricted" license that still lets you drive to work.

France gets around that by assuming it's the car's owner's fault. If you were not driving the car during the infraction, the person driving the car must fill out a form saying he or she did and take the hit voluntarily.

If the car's owner is a company, the company must declare a default conductor for this purpose.