Yeah actually leading healthy lifestyles is a public concern, especially when you're talking about health care costs that can be passed on to the rest of us. A system that emphasizes prevention over treatment is one that will likely lead to lower costs, not to mention healthier lifestyles with longer life expectancies and a better quality of life.
And besides that, you don't want to live in a place that has endemic disease and a host of other ills. Remember, some diseases can be passed on to other people after all, we don't live in a bubble! Indeed, when it really comes down to it, this is one of the most important aspects of community life.