It's interesting how you go in two sentences from returning to goals of historical universities to suggesting that medicine shouldn't be part of it.

A classic full university was supposed to cover the four historically major fields of study - theology, medicine, law and philosophy (which includes all the modern subtypes of PhD's e.g. physics, math, biology, etc). Three of these fields were pretty much designed to prepare students for the specific needs of knowledge intensive work (clerics, doctors and lawyers) and only the philosophy studies were less practical.