In OTL, the United States had Jupiter-class nuclear missiles in Turkey, which helped prompt the Soviets to put nuclear missiles in Cuba. This provoked the Cuban Missile Crisis.
WI instead of OTL's CMC, the Soviets pitched a similar fit about the Jupiter missiles like the U.S. did with the Cuban ones? The war scare is in the Middle East, not 90 miles off Florida.
(Inspired by Sam R's comment in the Hungary thread in which he renames the CMC the Turkish Missile Crisis and accuses the West of trying to pick a nuclear war with the Soviets.)