A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed.
You can choose not to own a weapon, but you'll be subject to a fine if you do so. That fine will go towards those people that cannot afford one on their own.
Same logic. If healthcare can be found in the general welfare clause (joke), then surely people can comprehend the necessity in this.
Of course this wouldn't fly, but it's applying the new found taxing authority to obvious end conclusions. When Justice Stone (Roosevelt era) whispered the government can do anything when they gained taxing authority...he wasn't kidding.