"...The United States has this problem with income inequality, perhaps you've heard of it. It is at the center of this healthcare issue as well..."
  "Income inequality" is the most stupid, ridiculous concept statist elites throw around as if they can do anything about it. The simple fact is that the world consists of stupid people, lazy people, uneducated people, ignorant people, smart people, motivated people, educated people, and knowledgeable people. People are all individuals.  As long as everyone is permitted to follow their own paths and protected by the same laws, government has done all it should.  It is called equality of opportunity not equality of outcome.