Health Insurance Mandate

Eventually the US Supreme will decide whether the mandate to carry health insurance is constitutional.  There are plenty of opinions on both sides.  Since I am not a constitutional scholar, my opinion does not matter.  However, I do see a crack in the reasoning behind Obamacare supporters who liken mandated health insurance to mandated automobile insurance.  To many these are analogous, but they are not.

States mandate car insurance because an uninsured motorist can wreak havoc on their own health and property, and that of others.  Automobile insurance covers the damage they cause to innocent third parties.  Mandated health insurance has no such claim.  The insurance is solely for the care of those insured.  That specific pro-Obamacare argument makes no sense.