Note that many countries who have socialised healthcare and/or accident compensation also collect taxes or levies for higher risk activities as part of the base to pay for it all.

For example, all Australian states and New Zealand have fuel excise / taxes where some types of fuel used for motor vehicles have significant extra taxes above normal cost. Some Australian states require drivers to pay an annual personal injury levy to a government department per vehicle (usually just shy of AU$1000/year in Victoria, for example), while others require private insurance covering personal injury. New Zealand has an accident compensation scheme that levies people based on the type of work they do (which factors in risk of work-related injury), and Australia (federally) also levies everyone for healthcare based on income and whether they have private insurance.

The main difference from the US is that medical care is socialised rather than the victims of road injuries (who are not necessarily drivers) subsidising drivers.