Whoa. Your patients know you by your bearing, your command of language, your knowledge, and your skills. I wear nothing but scrubs, never wear my white coat, and no patient has ever addressed me as anything other than "Doctor," even patients who don't know me and even before I introduce myself.
Typically, the patient or a family member will be talking on their cell phone and when I walk in the room will say, "let me call you back, the doctor just walked in."
My attendings wear scrubs and there is no denying that they are in charge. Many of our patients wear expensive clothes and have all the accessories but they are still uneducated, working at low-skill jobs, and I never feel like they are putting me in my place.
You have issues, don't you?