As a physician, I say most doctors would enthusiastically welcome it. With today's constant threat of litigation, practically all doctors are getting second opinions on every diagnosis anyway to help defend their actions in case something goes wrong. If they can say "Watson agreed with my diagnosis" instead of "Dr. Jones agreed with my diagnosis", work gets done quicker. Waiting for second opinions is hugely annoying and a big time waster in a doctor's day.

If it worked in that way, which it currently doesn't (see comments about question answering systems and Jeopardy) in terms of the state of the art, we're... maybe 30 years off that, like as in we're 30 years off fusion.

Think about the human condition, think about human biology. Be clear- these are systems beyond current science... and doctors deal with them every day!