I really hesitated to jump in on this, but here I go.
I think healthcare should be a right solely from an empathetic and ethical point of view. Who are we so say that, because I was born healthy and without an expensive chronic illness to manage, that I don't have the duty as another human being to help someone who does? Heck, I could get into a car accident on my way home from my shift today and owe hundreds of thousands in medical bills even with my insurance. I don't think that due to someone's outstanding circumstances or genetic predisposition that they deserve to be financially ruined.
There are plenty of things I wish my paycheck didn't go to, from wars to corporate tax breaks, but I still pay. I would be delighted to know my money was going towards something that, while doesn't benefit me directly now, was helping another human being. It's not just about taxation, it's the right thing to do for the benefit of everyone, especially for those most vulnerable.