You are precisely correct in assuming the medical profession has its origins in the Knidean school of thought. The idea of a "demonic possession" as the cause of illness was in perfect alignment with the Church and bolstered for some 15 centuries in Europe.
As humans, we love to impose our will upon everything we come in contact with. This is a dangerous concept in the healing arts, as it violates the will and recuperative powers of the body.
Each of our professions play a role in health care but are naturally limited. The medical profession has made huge strides in their fields and in the basic sciences in understanding specific mechanisms of the physiology of pathogenesis. They also treat what already exists, using their methodologies.
The problem with other professions whose objectives are to prevent disease is that we can never show we are active in preventing anything because its lack of expression can never be determined to be casual or causal to our activities.
It's a conundrum!
Thanks for the response!