Another thing has just crossed my mind: Khan was found and revived less than a year prior to STID, and in that relatively short time period he became what he did become? He basically woke up 300 in the future and immediately became a top agent of Section 31 and a starship/weapons designer? Superior intellect or not, but that seems a bit fast. On the other hand, if people can go straight from Cadet to Captain after three years at the academy ... I guess anything is possible.