In the operating room scene during surgery for the conjoined twins, close-up views of the hands of some of the OR personnel who are manipulating IV solutions reveal they are NOT wearing surgical gloves for sterility.
In the scene when Ben first was on rounds as an intern at John Hopkins in 1976 it shows a patient connected to a patient monitor that was not available until 1989.
When Dr. Carson went to deliver the results of the separation surgery to the parents he didn't have sweat on his uniform but in the following scene when he escorted the parents to see their twins he was drenched in sweat.