Answer: the early 1960s however, Khrushchev's popularity was eroded by flaws in his policies, as well as his handling of the Cuban Missile Crisis.his emboldened his potential opponents, who quietly rose in strength and deposed him in October 1964.Soviet Premier Nikita Khrushchev orders withdrawal of missiles from Cuba, ending the Cuban Missile Crisis.
The most important reason for the United States to maintain a strong political presence in Cuba was mainly to protect American business interests on the island, as well as continuing to control the Caribbean area in the aspects of commerce and trade coming and going from the Panama Canal.