There's no incentive in a free market to provide a service to every single person regardless of ability to pay. And yet we as a society have for the most part decided that health care should be a right granted to everyone.
There's no incentive to grant care to every single person in an unfree market either. There isn't a free money machine that suddenly bestows enough money to cover the care for everyone. Instead what happens is that the government decides who gets care and who doesn't. Taken to the extreme it means the government will decide who lives and who dies.
The incentive in a government-run marketplace is to do whatever will get the politicians the most votes. Those in power and those who form discernible voting blocks will get health care. Those who form discernible voting blocks that vote against big-government politicians will not get health care. And everyone else will kind of fall through the cracks.
Right now the pro-government health-care message is it's going to reduce costs and make sure everyone is covered. Then they'll act surprised that costs have gone up and the only way to fix it will be to get a single-payer system. Then we'll move to single-payer and someone in the government will come out and say that we have to make tough decisions on exactly which treatments to approve because we only have so much money allocated in the budget. They'll say they are allocating the money based on "need" but in reality it will be based on what will get them the best PR and thus the most votes.
In a true free market system the people with the ability and will to pay for more health care will be able to afford it and will get it. The people who are unable or unwilling to afford it would either have to take charity or not get it. What we had before the new federal healthcare plan was not quite free market because we had various rules already that strongly encouraged expensive insurance plans, but it was reasonably close to it. The way to fix it is to go the opposite direction and encourage people to purchase health-care services in an a la carte fashion. This would likely lower costs back to the levels they were when people bought a la carte instead of buying expensive insurance and expecting everything to be paid for.
Apparently you find the idea of people dying because they don't have money to pay for care offensive. You aren't alone. I don't like it either but I am smart enough to know that in lieu of charity the only alternative is to let the government decide how to allocate health care resources. That ultimately means the government decides who lives and who dies. I find that to be more offensive than anything.