i disagree that our health care system can treat a "finite amount of treatable illness"
i think the demand for treatment is heading to an almost infinite number.... 
Bio engineering will and has changed,  everything , and as the population ages , the possibilty for treatment costing in $100,000 s  , for each of us , looms large.
Society can't afford the Mao clinic treatment for each of its members.  Achoices have to be made . 
The price mechanism comes into play .... either by gov't dictating to you , or you choosing to pay your way.
Ask anyone on a list   --- organ  transplant etc  or MS treatment etc or advanced cancer treatments...  millions of dollars get paid for private treatment  in Canada.
The government,  you so hope to provide the cradle to grave solution you advocate  for, will cut you loose in a the twinkling of an expensive prescription at your time of need.
Cynics like me will make sure I can pay my own way in my own terms.