Generally speaking I get the impression that the Americans respect the French and German militaries more than they respect the British military. Look on any Youtube video about the British military and the comments are always basically Americans insulting the UK and vice versa. Look at any Youtube video about the French, German military and its always stuff like "French/Germans are our brothers in arms!", "Who says the French aren't tough!" "Vive la France!", etc. As I said, I get the impression the Americans don't rate the British military very highly.