Well, it's difficult to judge the situation from the limited information provided. But I would say categorically that, while a quiet room for a person with ADHD is reasonable, extra time is not.
I'm not sure there's ANY situation where extra testing time on the MCAT is justified. The time limitation is a component of the test that yields useful information to admissions committees regarding an applicant's ability to integrate information and use it to solve problems quickly and accurately. If this is an essential skill of a physician (which I believe it is, for ANY specialty), then extra time on the MCAT removes an essential construct being tested. Changing the test in a manner that alters what is being tested is not considered a reasonable accommodation.
However, I don't think that someone with a disability should be required to document it for the benefit of admissions committees, in order for them to judge whether the applicant is suited to practice medicine. The person with the disability (other than cognitive, of course) is a better judge of his or her physical capacity than anyone else. Other people often have a stereotyped view of a particular disability and the physical limitation it entails, and this may or may not apply to the applicant in question. I would hate to see someone who'd make an excellent physician, not to mention an excellent role model for others with a disability, denied admission because of anyone's preconceived notion of their limitations.
So I agree with the current practice of identifying the essential physical and mental skills required of a physician, and asking applicants to state that they have these capabilities. I would not be averse to requiring formal evaluation of this, once the applicant has been accepted. The acceptance could be contingent on passing the evaluation, as long as EVERY student, and not just those who've identified themselves as having a disability, is required to undergo such an evaluation.