Convinced that Khrushchev was being duplicitous, McNamara now pushed for a limited air strike to destroy the missiles. General Maxwell Taylor, now head of the Joint Chiefs of Staff, recommended a large-scale attack. When an American U-2 was shot down over Cuba, killing the pilot, the pressure on Kennedy to launch an air strike increased enormously. A nuclear war with the Soviet Union seemed possible. “As I left the White House . . . on that beautiful fall evening,” McNamara later recalled, “I feared I might never live to see another Saturday night.”