How is an individual responsible for his own healthcare?

Democracy lasts so long as "the people don't realize they can vote themselves money from the coffers", or so I shall paraphrase. For the sake of devil's advocacy, I will portray the objectivist point of view.
For starters, health care is not a right. The rights you do have are Life, Liberty, and the pursuit of Happiness. Every other "right" is simply an extension of these. Further, these are not rights to anything other then the ability to act. The right to the pursuit of happiness, for example, doesn't mean you have a right to a haircut, a trip to Disneyland, a new house, a video game, etc. It means you can pursue such things; you can work towards them, to obtain them. Similarly, the right to life isn't the right to live in a Las Vegas penthouse; it's the right to work to continue living.
Next, your rights end where another's begin. The only thing that the aforementioned rights guarantee is that no one will be able to rob you of your pursuit, to continue the example.
To say that health care is a right is wrong, and I daresay evil, in it's most literal definition. Health care is a good, just like any other, to be traded on the open market. If you were to say it's a right, and everyone is entitled to it, the end result is you make slaves out of the producers, in this case, doctors.
One can try to make the claim that the right to life implies health care, but this is untrue. To try and claim this as a "right" is merely to mandate charity, forcing people to give money in the form of taxes, and doctors in the form of their time, effort, schooling, intelligence (etc.). This violates the rights to liberty and the pursuit of happiness of doctors and taxpayers alike.
It is robbery disguised by sweet words, and nothing more. It is socialism, proven not to work by history, and immoral by reality. It is forced charity. It is meaningless.
And if allowed to fester, it will cause the decay of the medical profession as doctors go elsewhere and deny care, followed soon by the "A" students who would have been doctors becoming something that pays better, and has better hours (like a lawyer; we need more of those, right?).
As a quick closing, this is (of course) simply one perspective; who knows? All prior history of such things, all indication to the contrary, the very nature of our rights up to this point; it could all be wrong. Perhaps this perspective I'm advocating is incorrect, despite all odds. Watch the rats though; they'll leave the ship as soon as it starts sinking.
--Whew, that was more than intended. Ah well; it was fun. I hope who ever reads this can at least consider such things; group think is a terrible thing when allowed too long. As the standard disclaimer, this is merely playing the devil's advocate, not my real opinion, etc.