Another KGB report to their bosses revealed that on March 5, 1980, John Tunney met with the KGB in Moscow on behalf of Sen. Kennedy. Tunney expressed Kennedy's opinion that "nonsense about 'the Soviet military threat' and Soviet ambitions for military expansion in the Persian Gulf . . . was being fueled by [President Jimmy] Carter, [National Security Advisor Zbigniew] Brzezinski, the Pentagon and the military industrial complex."

Kennedy offered to speak out against President Carter on Afghanistan. Shortly thereafter he made public speeches opposing President Carter on this issue.

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In May 1983, the KGB again reported to their bosses on a discussion in Moscow with former Sen. John Tunney. Kennedy had instructed Tunney, according to the KGB, to carry a message to Yuri Andropov, the General Secretary of the Soviet Communist Party, expressing Kennedy's concern about the anti-Soviet activities of President Ronald Reagan. The KGB reported "in Kennedy's opinion the opposition to Reagan remains weak. Speeches of the President's opponents are not well-coordinated and not effective enough, and Reagan has the chance to use successful counterpropaganda." Kennedy offered to "undertake some additional steps to counter the militaristic, policy of Reagan and his campaign of psychological pressure on the American population." Kennedy asked for a meeting with Andropov for the purpose of "arming himself with the Soviet leader's explanations of arms control policy so he can use them later for more convincing speeches in the U.S."