How does one live without property?  (Money earned, clothing, food grown or purchased from someone else, shelter - not just land holdings?). Unless you consider homelessness "living"?
We are obligated by Christian charity to take care of the immediate, necessary needs of our neighbor.  That does not mean we must provide for anyone's ongoing health insurance which is always being improperly redefined to include birth control, abortions, (speaking of the "least of these") and even sex change mutilations.  There is no  comparison between the right to property and healthcare because healthcare is a service, not a right.

People need food to live.  Does that need give them the right to take what others have labored to grow?  People need cars to travel to work and back, tires, gasoline and maintenance too.  If healthcare is a right, why not these things or anything and everything else?