There is no "libertarian left" and "libertarian right". Libertarians decided to create a political compass website as a recruiting tool and now think their ax

There is no "libertarian left" and "libertarian right". Libertarians decided to create a political compass website as a recruiting tool and now think their axes model represents reality. That's what's incoherent. Ironically these categorical definitions which you have accepted have as much validity as a website quiz saying how much of a Hufflepuff or Gryffindor one is.