That may be true. Nixon was also CIA. Henry Kissenger worked with Dulles and the OSS in Germany after WWII.
Nixon was the far greater threat to the establishment, as it turned out. The left was out to get him since Alger Hiss. Had he been in favor of better economic policies (his worst point), we could’ve had a boom-time under his administration. Unlike JFK, who was terrified of Khrushchev, Nixon knew he was full of hot air and wouldn’t have started WW3 over Cuba.