Max Hasting's excellent book Armageddon looks into the downfall of the Third Reich from D-Day onward. He thinks the US forces had very little regard for the British senior officers, especially Monty. It's difficult to know whether this was deserved, but I think it's fair to say that the rather snooty and superior attitude held by many British officers against the US forces was unfair and made for bad blood at a time when unity was needed.