The CFR, a private organization tied to elite circles of business, government and academia, was accrucible for Cold War policy.
Walter Isaacson's biography of Kissinger describes the most exalted enterprises of the CFR to be the so-called study groups,
Could the UFO question have been part of their classified deliberations? While there's no direct proof, the overlap of names between the CFR study groups and MJ-12 suggest they operated in adjacent circles.
This think tank included many figures from Kissinger's CFR group, creating potential crossovers between official policy and classified programs.