Barry Goldwater Campaign Buttons. Welcome to the Barry Goldwater campaign buttons section on campaignbuttons-etc.com.Pictured are Barry Goldwater campaign buttons and other political collectibles form Senator Barry Goldwater's 1964 presidential campaign. While the 1964 republican ticket of Barry Goldwater for President and Bill Miller for Vice President was not successful, it is considered to be the foundation on which the modern conservative movement is built upon. Many of Barry Goldwater's 1964campaign buttons feature his trademark dark rimmed glasses. Goldwater won his first political office when he was elected to the Phoenix City Council in 1949 and later in 1952 was elected to United States Senate.