“The American Missal” and “The Anglican Missal (American Edition)” are basically the BCP liturgy embedded in the context of the private prayers of the Tridentine Missal, which alters the theology quite considerably. Hence the old joke about the Anglo-Catholics being prepared to fight to the death for the 1928 Prayer Book provided they never actually have to use it.
Source: The 1928 and Cranmer’s Shape | The North American Anglican