The rights guaranteed to the people in the constitution all pertain to the limiting of government intrusion into our lives.  There are none, unless I missed them, that allow anybody a right to be served by another (with the possible exception of protection from foreign enemies).

There is, however, a right to be free from involuntary servitude.  So, it may follow that any person who is required to provide a service to another without just compensation is being denied his right against involuntary servitude.  Or, if the rest of the citizens are forced to pay for service to another, it could be argued that the citizens who are forced to pony up (through taxation or otherwise) are being subjected to involuntary servitude.

This sounds like a stretch, I know.  But, if you look at how buying power is achieved in a capitalist society, it is through service to others.  When I serve my fellow man, I receive in return the buying power to receive service from my fellow man.  I thank Dr. Walter E. Williams for the first lesson in economics that really made sense to me. 

I am also a victim of conscience.  I don't like to see my fellow man suffer.  I also like the idea of pitching in for the common good.  So, while I am in favor of the best available healthcare for all, I believe there is no right to receive it.