Speaking of robotic doctors, I've always predicted that AI and robotics would eventually specifically replace surgeons. Well, replace might not the right word, maybe: augment to the point that the human surgeon's job would just consist of monitoring the AI driven robotics in case it does something catastrophically wrong.
A robot or team of robots driven by an AI (one advanced enough to react to unexpected circumstances) could be better in the operating room than humans. They're easy to sterilize, they can make more precise movements and manipulate smaller tools, they don't get stressed, they don't get fatigued, they could more accurately calculate probable outcomes, they could be faster, etc.
How far off an AI that is reliable and capable enough for that is another story, but I think it will happen somewhere down the road.