[{UB}Raptor]

I agree that the Stg44 in MoH:AA is much too powerful, it's range is too great and the accuracy is un-matched by any other gun in the game, except the sniper rifles. It doesn't seem to matter which server you play on, 90% of the Axis opt for the Stg44, the other 10% go for the K98k sniper rifle. Whereas the Allies tend to go for a mix of M1, Thompson, BAR, and Springfield.
The Stg44 was the first ever assault rifle, and by June 1944 was issued to the Waffen-SS and other elite units of the German army. The Wehrmacht that manned the Atlantic Wall, and fought the Allies all the way back to Germany, mainly used the MP40 and rifle.
The US forces that landed in Normandy were mainly issued with the M1 rifle, the BAR was a squad weapon, and the Thompson SMG was not that widely issued.
The RoF of the BAR wasn't a great deal slower than the Stg44. The BAR had a RoF of 500r/pm and the Stg44 600r/pm, (which was still slower than the Thompson (700r/pm) and MP40 (650r/pm)). The effective range of the BAR was 875yds, and the Stg44 550yds.
Sorry for the history lesson folks, but WWII is a hobby of mine.