Not just the Middle East. You could say the USSR itself was in fact partially an example of this pattern. The US donated enormous quantities of resources to the Soviet Union during WW2 to beat the Nazis, including significant railway infrastructure; the Cold War began virtually the moment both US and Soviet troops were in Berlin. While it is true that most Soviet weaponry was home-grown, arguably they would not have won without US aid.

In all the major conflicts after that - Vietnam, Korea, Middle East - the US was supporting opponents of the Soviet Union.