Which two-word slogan called for eliminating nuclear weapons in the 1950s and 1960s?

In which 1960 Roger Corman film does a masochistic dental patient say, "No Novocaine. It dulls the senses"? Which poet, whose works on Harlem life include "The Weary Blues", won the NAACP's Spingarn Medal in 1960? Which 1960 epic had the tagline "They trained him to kill for their pleasure... but they trained him a little too well"? In 1960, historian Garrett Mattingly received a special Pulitzer citation for his book on which 1588 naval campaign? Which 1960s vice president called his autobiography "The Education of a Public Man"? Which war is the backdrop for Bobbie Ann Mason's "In Country" and Tobias Wolff's "The Barracks Thief"? Which children's author's 1960s works include "Higglety Pigglety Pop!" and "The Nutshell Library"? Complete the title of J.D. Salinger's 1961 book: "___ and Zooey".