It is true that there a handful of western countries who have created national health care, accessible to all, but it doesn't change their reality that those with more resources seek and find higher quality care. The history of humanity provides no examples of long-term, successful and universally accessible quality health care.
It is noble and right to want to help others in need. The golden rule should always guide the human heart even while wisdom must temper its actions. Mercy and justice are like mom and dad.
A health care system that doesn't reward healthier lifestyle choices and penalize poor ones is likewise doomed. Again, I aver that success in a health care system runs to the cumulative effect of individual, human choices.
(An aside: I’ve never understood why health care or health insurance is ever a "for-profit" activity? Whether one is a doctor (or nurse) or an insurance company, doesn't the motivation to provide health care spring from a desire to help and serve? To think in terms of and to measure one's success by the yardstick of profit seems positively revolting to me. Who wants health professionals who are in it mostly for the money? Obviously, they should be properly compensated; I’m not suggesting minimum wage. The profession of healing is an art, not just a science, and the intensity of training and the scope of responsibility needed to do it well suggests a passion born of high ideals.)