Yup. I mean, obviously, many people would not be able to afford reasonable levels of insurance, so instead of subsidizing public transit, or even directly subsidizing auto insurance or something, instead we leave it so that the costs of accidents are borne by victims who are unlucky enough to be hit by people who are carrying minimum driving insurance.
This means that if you are a responsible driver, you not only carry substantial liability insurance, in case you hurt someone else, but you also carry substantial 'uninsured motorist' coverage, which covers you in case someone who has minimum insurance hurts you.
Because of this, the cost of insurance varies radically; from almost nothing to rather more than the cost of a new compact car. And it scales, usually, with income, which is fine, really, but I think the way we do it (by throwing people who can't afford that rather expensive 'uninsured motorist' coverage or people who are hit outside their cars under the bus) is pretty messed up.