@TonusOH: both New York and California and a few others like Massachusetts have systems like what you propose. There are 52 different states in the US, like EU states, they have a form of autonomy on these issues and each one has a different system.
And there is plenty of evidence of what works, the best rated hospital systems and outcomes are in places like Pennsylvania, Texas, Idaho or Utah, where there is minimal government involvement with healthcare, whereas New York, California and similar states consistently rate towards the bottom.
The best system is always the one the government doesn’t get involved in. Even in countries with government single payer health care systems, the overwhelming majority of people will prefer the private option when available.
The fact one side consistently refuses to offer any evidence that their system works should be a marker that it is a religious statement rather than a political or practical solution.