No discussion of education is complete without the libertarian view that ALL education should be private. There ought to be NO government involvement whatsoever.
Furthermore, we are evolving into a modern version of the Medieval Guild System, in which entry into any given field is allowed only on approval of the guild. That is the system not only with doctors and lawyers, but even such fields as flower-arranging and hairstyling, and every other field in between.
One of the most formidable lawyers in history--Abe Lincoln--never got a law degree. He learned his craft through apprenticeship. We need to get the government out of both education and restrictive guilds, if we are to reach the ideal of a free society.