We have it here. And it works very well for the most part, though it has been struggling a bit lately due to a combination of a lack of trained doctors and too much political meddling. The first would still be true if it were private healthcare instead, and frankly, I'd take the second over the kind of meddling that might happen if they had to actually make a profit. After all, politicians have a vested interest in making sure their voters get proper care.
As it stands, everyone gets cared for (and, rare lapses aside, cared for well), old, young, rich, poor, and none of them need fear that falling ill at a bad time might cost them their house, their car, or whatever.
You do have to wait in line (and sometimes for a while) for non-critical procedures, but if something needs to be done fast, it gets done fast.