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Buist was a campaigner for gay rights and joined the Campaign for Homosexual Equality (CHE) in 1972, which he saw as a less radical alternative to the Gay Liberation Front: Buist said their "idea of an anti-family, anti-Establishment social revolution seemed to me unlikely to produce change for the better".
That group was reconstituted at the Conservative Party Conference in 1991 and was renamed TORCHE (the Tory Campaign for Homosexual Equality) under the chairmanship of David Starkey.