Government-run health care is NOT constitutional. Period!
Of course not! The "General Welfare" clause has been abused to the point of obscenity, not to mention the "Interstate Commerce" clause. The 9th and 10th Amendments (and others to a lessor degree) say it all. Read them; understand them; support them; fight for them!
If those Amendments are not clear enough, then read the various debates prior to and during the 1787 Constitutional Convention. The Federalist Papers, Founding Father publications, correspondence between them, personal letters, diaries, etc. will make it VERY clear what their INTENT was about.
There is NO doubt the Founding Fathers strongly believed in limited federal government. The best minds of the time proclaimed it time and again for years! Some continued to warn about fedgov largess even after the Constitution was ratified.