Requiring auto insurance has not solved the problem of uninsured motorists.  In states which require auto insurance, about 15% of motorists are still uninsured, which is about the same proportion of those without healthcare coverage.  Besides, "free riders" are not as much of a burden as they are portrayed to be.  A recent study showed that only about 3.5% of healthcare costs account for uncompensated care.

Regards,
Scott Perry