The first of three documentaries in the Hamptons International Film Festival’s Summerdocs series hosted by Alec Baldwin, Best of Enemies was sure to be a hit with the East Hampton crowd. Featuring a historic event of verbal jousting between two well matched public intellectuals, men who could turn a phrase, the conservative William F. Buckley and the leftist Gore Vidal, author of the controversial gender-bending Myra Breckinridge, the movie is perfection for an audience that remembers the media spectacle. That Buckley and Vidal were enemies aided the cause: to boost ratings for ABC, in 1968, when the network was third, or last in the age’s few channel options. In the view of Best of Enemies and its creators, Morgan Neville and Robert Gordon, this televised sparring changed television forever. Ratings for ABC skyrocketed.