I believe that some things are necessary for a healthy society to function. Education, protection by our military and police forces, a fair judicial system, and health care should be three of those things. These things should be free and accessible to all regardless of a person's income.
Also being a Christian, I think society as a whole has an obligation to look after its poorer members.
What health care system I would prefer is a totally private system like Germany has. There all people have insurance; no one can be denied. The government pays the premiums of the lower-income people. The government sets the prices that are charged for drugs or services.
For I am convinced that neither life nor death...neither the present nor the future nor anything in all creation will be able to separate us from the love of God that is in Christ Jesus our Lord. Romans 8:38-39