From a historical perspective, absolutely the USA used mortars in WW2. These were part of any normal infantry company and provided indirect fire on the move. In fact, mortars can drop more ordinance on target faster than even very large stationary artillery. They are only limited because of the small caliber of their rounds and limited effect against truly heavily armored targets. Band of Brothers does an excellent job of showing how mortars were used in conjunction with standard troop deployments.
They are not in COH2 because of design choices that attempt to limit USFs options against MGs to help the Wehr make it through the early game. Mortars would negate MG42s and Rifles already beat Grens so Wehr would get rolled quickly.
This guy knows his stuff. They were the most accurate of all the factions when it came to artillery.
As for having mortars, it would make USF OP if they have both smoke, rifles AND mortars...
That's the M2 60mm mortar you're talking about that uses the GrW 34 model, surprisingly both the M1919A4 and the M2 60mm mortar do have models but no animations.
They were probably too lazy to make them and it would have been weird of using German mortars and calling them American so that's why they cut them.
As I recall, there were mortars available to USF early upon their release, but got dropped.
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