Humans (doctors/nurses) can still be there to make you feel the warmth of humanity in your darkest times, but if a machine is going to perform better at diagnosing (or perhaps someday performing surgery), then I want the machine.
Even now, I'll take a surgeon that's a complete jerk over a nice surgeon any day, because if they've got that job even as a jerk they've got to be good at their jobs. I want results. I'll handle hurt feelings some other time.