I expect that doctors (of the medical kind) would agree as much or more than the average person.

I think that would depend on the context and on how the question is phrased. Professionally, doctors know quite well that race matters -- e.g. some blood tests have different acceptable ranges depending on your race, the prenatal testing of pregnant women depends on their ancestry, etc.

doctors (of the scientific kind

I think academia is much more politically correct than the medical profession.