Doctors are not scientists. A few hundred years ago they were barbers. They established a guild, started speaking in tongues, and now control legislatures.
your history is wrong. Scientific doctors started with Hippocrates.
Barbers were surgeons. We don't see much difference in the USA, but in England, up to a few years ago, a surgeon was always called "Mister", not doctor, because they were historically not "gentlemen"...