Let's put it this way: if I loan someone $100 dollars, and they never pay it back, should I cosign on their $20,000 loan? I'd be an idiot to do so!
If the government messes up, as you're arguing, the small issue of driver's licenses, should I trust them with my health?
Lenin considered healthcare a "constitutional right," so Soviet Russia got a cradle-to-grave healthcare system. Guess how that turned out?