Easy
Part of life liberty and happiness is being free.
Healthcare is a dependent right based upon the others
The right to bare arms protects the most basic rights of Life Liberty and Happiness.
Healthcare can be seen as a part of those three.
The problem with the left is that the health care they provide is really no better than what is given at a county hospital for indigents. I know this is true. I have used the British NHS and the Hong Kong clone of the NHS. In fact when my oldest daughter broke her arm in Houston the county hospital in Harris County provided better care than the British NHS.
Thus, the US has healthcare comparable to the socialized systems in Europe it is just those systems are run by California, Texas, New York or Kansas.
Socialized healthcare turns populations into slaves.