Sorry, but no. Standardization does not mean "an average joe can do well on it." Actually, the average score for an MCAT shows it is highly unlikely an "average joe" would ever attain a decent score on the MCAT. By statistical analysis, one could estimate than average joe would, on average, score approximately an 18 (1 SD below the median score) after preparing. IIRC, that wouldn't even get you into podiatry!
The average MCAT is ~24-25 and the average accepted student is around 31-32 (or an entire SD above the median score). This means that the average matriculating medical student has achieved a score in the 84th percentile or better. Even the average for applicants is ~28. So assuming that you must be at least an average applicant to even be seriously considered, you must be in the 72nd percentile. To put this in more concrete terms:
Of the ~60,000 students who take the MCAT this year, ~50,400 (84%) of them will receive scores that are below average for medical school acceptance and ~43,200 (72%) will score so low as to be virtually disqualified from serious consideration!*
It's the population, not the test, that makes things difficult. The population taking the GRE is similar to (although probably slightly weaker than) that taking the MCAT. As someone who has taken both, I can tell you they are simply different tests. Comparing them is like comparing apples and oranges. Outside verbal, they test generally different things. It is a critical thinking test but outside algebra, there's really no expectation of knowledge going in. It is meant to test general aptitude vs. the MCAT's [general] emphasis on critical thinking & application of science content.
* Just to clarify, some people do get in with scores below the average applicant's MCAT score; however, it seems to drop off quickly as you descend below below that value and generally medical schools seem to take almost only from the upper 50% of applicants unless someone has other extremely desirable qualities, which is, by definition, rare.