You could put on a blindfold and then throw a dart at a map of the of first world countries, and if we just adopted whatever system is used where that dart lands it almost certainly would be a big improvement.

If making a better health care system was a problem that everyone else sucked at also then I'd be more inclined to worry that trying to improve ours could make it worse, but with so many good examples--using a variety of different approaches--of how to do it better I'm not worried that trying to fix ours would make it suck even more.

Even if, somehow, we actually do manage to make it suck more we can just try again. Eventually we'll have run out of new ways to suck and will have to stumble onto one of those good approaches that the other first world countries use.