As in Kuwait for example: "The situation in Kuwait is very shaky as a result of the coup in Iraq, and there is a strong possibility that the revolutionary infection will spread there." See Keefer، Edward C.؛ LaFantasie، Glenn W.، المحررون (1993). "Special National Intelligence Estimate: The Middle East Crisis. Washington, July 22, 1958". Foreign Relations of the United States, 1958–1960, Volume XII: Near East Region; Iraq; Iran; Arabian Peninsula. Washington, DC: Department of State. ص. 90.
The frantic Anglo-American reaction to the developments in Iraq, which Allen Dulles asserted was "primarily a UK responsibility", makes for an interesting read, beginning here.
