I'm going to play some Devil's Advocate here. (If I believed in hell I'd probably be condemned to the seventh circle for this. And some here would be more than happy to escort me there!

)
Why?
I can think of quite a few people who don't deserve health care. I can think of quite a few who don't deserve to live!
Should a junkie who poisons himself with toxic chemicals every day of his life be entitled to the same quality of health care as hard working citizen? Should someone who drinks himself into a stupor night after night, destroying his own liver in the process, be given the same chance for a new liver as the young mother who's liver was damaged in a car accident? And what of the doctors and nurses who might no longer be able to set their own fees for services rendered. Don't they deserve better than that?
Everyone deserves healthy foods, too, don't they? So why not devise a Universal Food Service System, so anybody who's hungry can walk into any restaurant and get the most expensive meal for free? Just trash the food stamp program. That only lets people get the cheapest foods. We all deserve to eat steaks, every night!
And people need transportation, too, don't they? Why not give everyone a brand new luxury car, so they can get around when they have to? And don't forget the gas! Everyone needs free gas, too. And heating oil. And housing. We DESERVE it! Don't we? Hell, the government's paying for it. They have plenty of money!
All right, all right, I realize I'm bordering on the ridiculous here (if I haven't already crossed that border.) But my point is that nobody deserves anything. We have to EARN our way in this world. Nobody has to give anything to anyone.
As I understand it, Universal Health Care brings everyone to the same level (theoretically) so that the bum from the Bowery and the millionaire from Park Avenue get the same quality of medicine, the same quality of nursing care and the same quality of hospital care. While I'm sure that the bum sees nothing wrong with this, I'm also sure that the millionaire does! And so do I.
Should we provide health care to those who cannot afford it? Certainly! That doesn't mean it has to be the greatest quality health care, though. A certain basic level of care and treatment would be called for. Beyond that it's pretty much pay as you go.
And yes, I realize that condemns the children of poor families to lower quality health care simply because of their parents position in society. Short of raising all children in a central creche system until they are old enough to earn their own way, I don't see any cure for this. Life's a bitch!
(Geez, I'm gonna get crucified for this!)