Vaccines aren’t perfect, so I wouldn’t take the risk. My family experience with vaccines has been good. I have no complaints, and also no desire to force them on anyone. I would just take my family and my business elsewhere if the doctor’s waiting room was always full of un-vaccinated folks.
How would you ever know? Medical records are supposed to be private. My experience has been that the un-vaccinated tend not to need doctor care as often as those that are vaccinated (from conversations with parents). I would think that you would have more contact with un-vaccinated folks at schools, stores, sporting events, church, etc...would you take you business elsewhere?