There's some twisted logic to the notion Hector.
Specifically, if I own a gun, my ownership naturally grants me the discretion in how that gun is used; Vis-a-vis, I am ultimately the one who decides such a thing.
Conversely, a doctor is the one who owns the expertise and skill to perform quality medical care. His ownership of those things naturally grants him the discretion in how that knowledge gets used; Vis-a-vis, he is ultimately the one who decides who gets treated and who does not.
Mandating that everyone has a right to healthcare, intrinsically implies that the doctor does not have such a right or such discretion; It is a form of legal compulsion to service. Last I checked, slavery is not legal in the US. As such, attempting to recognize such a right is onerous, and violates the principles of natural rights, no matter how well meaning you might be in attempting to suggest it.
Eliminating all plausible rationales for a doctor to choose to refuse care over, is not the same thing as mandating that the doctor must always provide care. Subsidized federal healthcare is the former, "Right to medical care" is the latter. The former assures the doctor is always reimbursed for his labor and expertise, but says nothing about his/her right to not perform surgery, or practice their art on a case-by-case basis. The latter however, DOES dictate that the doctor cannot refuse.