Why is health care a right? What document gives one this right? Why does anyone have the right to demand that others spend years in medical school then bill that out to other taxpayers who pay for that on behalf of some people? This is a privilege of living in a wealthy country not a god given right.
Humans don't have inherent, natural "rights". Rights are something we create as part of the Social Contract and the rules by which we live with each other for our mutual benefit.
So in that respect, you might as well argue that you don't actually have any "right" to retain any of your income. Not having your entire salary confiscated and handed over to the state is not any more of a "right" than a poor person having access to healthcare is.
We do these things because they are morally correct, and because in doing so, we create a society that works for everyone's benefit.
