The main problems with health in America are not related to trauma. Increased health care cannot stop people from eating, drinking and smoking beyond the advisable limits of the human body. The stress we're putting ourselves through is not the problem of the health industry, but the natural by-product of our culture.
There is no causative relationship between advanced health-care and a healthy population despite the name agreement. Other cultures have more sane approaches to topics like drinking, portion size, vacation time, reasonable work hours. When we address the root causes of our health problems, we will see our death rates drop.
No, I am not concerned that the death rate in the US has not improved in the last 50 years, because Americans already live a long time. It was not long ago that most people died in the 40s or 50s. A baby who is born today can expect to live all the way until their 80s. I would call that progress.