> if it's something that's universally a good thing that should be required of every driver, it should be provided by the state and paid for with taxes / annual registration fees.
It's not, even in theory, in most places, though. It's just a convenient option to a liability bond that most drivers choose.
> Oh, and fun fact: the liability insurance isn't required to pay up anything unless the covered driver loses in court. They don't have to follow that the police report says regarding whose fault it is.
Well, yeah. It's liability insurance. It has to pay when a legal liability is established against the driver. That is, exactly when the driver would have to pay in the absence of insurance.
Determining legal liability is what we have courts for, not police. The cops doing the courts’ jobs is a phenomenally bad idea.