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DarkPira7e, I work in a similar environment (IT Director in a hospital system including ambulatory clinics), and have worked in other environments with similar personnel (I've been in the clinical lab business, as well as the airline business).
I'm also a bit old-school, probably because I'm older.
Calling someone that has earned the degree Doctor as "Doctor" so and so, is just polite, it isn't treating them as gods. I also refer to persons more senior than me (either in age (although I've about outrun that one, or rank) by Mr. or Ms. unless they tell me otherwise. I would do the same with Military rank or other persons with official titles (Doctor is an official title, just like Major or President).
I also don't just call them Doctor, but I use their name. So it's Doctor Kildare, not Doc or Doctor, just like I wouldn't call you "Hey Bud" instead of your name if I knew you.
No, it's probably not career suicide, but you will eventually run into someone that feels their hard work, money and time they put into earning the title (and they did earn it) earns them the right to insist you call them by it.
Like it or not, to some people if you "ignore social hierarchy" you are being disrespectful.
That is entirely different conversation than "being treated like a dog". I've corrected more than "of rank" in my career or refused to talk to them until they stopped ranting at me.