In fact throughout the war pretty much the entire British military establishment had barely disguised contempt for the American military. Montgomery made himself particularly hated by men who survived The Battle Of The Bulge. The Battle Of The Bulge was an almost entirely American battle, the biggest and longest continual battle the US Army ever fought. From the time it began on December 16, 1944 until it was declared ''contained'' on January 25, 1945 there was never a day, an hour or a minute that any American unit was not in contact with the enemy. British participation in the battle was minimal but Montgomery made it sound as if he, Montgomery had swooped in and saved the day. I knew a number of American veterans of WW2 who hated Montgomery. One man told me "I'd have shot that Limey bastard quicker than I'd have shot Hitler.
Soldier of Orange is another good one directed by Verhoeven.