the marshaling of medicine’s cultural authority

Medicalizing the Constitution?
M.G. Bloche
Courts and physicians need to be mindful about the use and misuse of medical-science findings in constitutional conflicts, the cloaking of moral views in scientific guise, and the marshaling of medicine’s cultural authority as a means of persuasion.

Source: New England Journal of Medicine


Does "the marshaling of medicine’s cultural authority" mean "the arranging/using of medicine’s cultural authority"?

it's more like 'bringing together and making a fighting force of medicine's cultural authority'.

Does "authority" here mean "power" (rather than a person in power)?

Not exactly. It is closer, I think, to influence.

If someone has authority, they have a quality which makes other people take notice of what they say.