Honestly, just put up cameras at points where following the law is the most critical for road safety, place notices something like a mile before it on the road, and if anyone’s still breaking the law after seeing the warning, just send the ticket to the home address the car is registered to with a picture that captures the driver.

Voilà, road safety AND reduction of unnecessary cop civilian conflicts.

Still send out patrol vehicles but for like, actual dangerous situations that need an immediate responder, because the patrol effect is a real and observed phenomenon (literally even just having a dude in uniform sitting on a horse in the area reduces crime), something that would actually be improved on by having cops spending less time babysitting highways and more time being visible in high crime areas to deter petty criminal behaviour.