While I do believe that the P-47 (and most American aircraft in Aces High II) are handicapped in that they are running at some of the lowest ratings they ran at in reality, you make very bad arguments. First, the P-47 was not the most-produced fighter of all time; that would be the Messershmitt Me-109. The Republic P-47 was only the highest-produced American fighter of all time. Second, the flight model seems to be accurate, given the model and rating it's supposed to model. The problem lies in almost nobody knowing what ratings were actually used for each aircraft. Hitech (and most other simulator developer) has gone with the power ratings given in the pilot manuals for each ship. Again, those ratings were, unfortunately, some of the lowest ratings that the actual birds ran at. The later, higher ratings never made it into the manual; instead, they were sent to individual units via memorandums. It was official; you can find the documents at Mike Williams' excellent site, Wwiiaircraftperformance.com, which was already linked.
Also, people are right when they say that History Channel cannot be trusted. It is entertainment, and statements made on History Channel have been proven false many times. Television is not a good source of information, and Internet sites aren't much better. Books, while far from infallible, at least require a great deal of effort to write and get published, and authors' credentials can be checked.