Wrong, Britian in the Falklands war. To name one case off the top of my head.
If it was in the national interest to accumulate Islamic good will, at least we learned that you can not accumulate Islamic good will.
And did Britain come whining to Congress, insisting that we pay for their war? While -- at the same time -- Britain eavesdropped on our elected officials, stole military and technological secrets and then sold them to the the USSR and China?