And it's an oath that's rather blasphemous to boot. Doesn't the Bible say something about oaths like that?

And that if you add in the whole Rod of Ascelpius vs. Cadeceus (aka staff of Hermes) debacle, it seems like there is a marked vein of occultism in medicine that people are not very aware of.

It's not like you step into a doctor's office thinking about the practitioner's religion. Most people just assume that a doctor is a good person, regardless of religion. That's something that is very easy to take advantage of.