The stories are a lot more realistic then MOHAA. You get a sense you are a part of the game. For example character models in the game have different faces, unlike MOHAA where the clone element is apparent. The textures, maps and character models are well done. COD was made by Infinity Ward (the original MOHAA team.) That's were many see the similarities.
If you like Medal of Honor: Allied Assault, then you will appreciate this game even more. Call of duty takes first person WWII games to the next level.