The way I see it, you have a couple of options: One is, when the resources necessary to sustain your life exceed the resources available to you, you die.
Oh, wait. That's pretty much the only option that any of us have.
Even universal health care only goes so far. Sooner or later you'll reach a point where no amount of my tax dollars, and no amount of government deficit, can sustain your life.
Me? I'm still eligible for health insurance, so I guess I'm a little luckier than you. Not in the long run, but still. You can tax me a little extra if you like. We'll call it "theprestige's good luck tax", and I sincerely hope it gives you some peace of mind.
But even me, I look into the future, and I see old age, decrepitude, and death. I see my resources running out, my insurance only going so far, and my fellow citizens only having so much I can tax them out of.
When I need an organ or a cancer treatment I can't afford, I'll probably die. And, knowing me, I'll probably die a hypocrite, kicking and screaming and crying and begrudging you every cent that didn't end up in my doctor's bank account, and begrudging the government every aircraft carrier that wasn't another round of chemo for my failing body.
Anyway, my point is, universal health care isn't a fairy godmother. It's resources transferred from one thing to another. And resources are limited. If people get seriously ill, they're supposed to suffer and die. The only real debate at this point is what counts as "seriously ill", and how much resources we're each entitled to along the way.