1. Federal level government health care- private contributors donate to health care and get tax breaks from the government. In essence, they get to choose where their tax dollars are going. This federal money is then distributed between the states. This system is so the private sector doesn't get too much influence over health care. This is my liberal/conservative compromise, where the rich who pay the majority of the taxes get the benefit of choosing whether or not they contribute but are limited at the federal level at influencing the system.
2. State level government health care- each state can then choose how to distribute the federal money. Perhaps they will set it up through a charity, or maybe they will choose direct state government control. The state will then decide how much to tax its particular populace for it's health care. This is beneficial because it allows individuals in the state to effectively decide how much they are willing to be taxed for health care. Conservative and Libertarian states may have little or no taxes, whereas Liberal states may have substantially higher taxes. Of course the populace can move between the states and pick the health care package they like best, and that provides competition between states to provide for the best basic health care. This is my libertarian/liberal compromise where the individual has far more control over how they are taxed while providing for the best free market opportunity. However, everyone will have the benefit of the money contributed to the state by the federal government.
3. Private level health care- provides supplementary insurance (and full package insurance if need be) so that people can get higher quality health care. In states where they choose not to tax the populace, there will be more demand for private insurance. In states where they do tax and provide more state level insurance, the demand will be lower for private insurance. If state level care begins to become ineffective, then voters will move toward private care. If private care becomes too expensive, then voters will move toward acquiring more state care. This is my libertarian/conservative compromise.
So I set up three levels with my compromises to allow for a check and balances system between the federal, state, and private levels.