McAllister was born in Salt Lake City, where he was a carpenter and worked on the pipes for the organ in the Mormon Tabernacle. Then he opened several gold and silver mines before taking up political life as a member of the Utah Board of Equalization from 1911 to 1913. In 1920 he moved to Los Angeles, California, where he engaged in the real-estate business. He lived at 1467 West 49th Street in that city. He died at the age of 72 in Santa Monica of an "abdominal ailment" on October 10, 1933, leaving his widow, Emily M. McCallister, and a daughter, Mrs. Roy Avery. A Christian Science funeral service was held, and the body was taken to Salt Lake City for interment.
During his council terms, McAllister was active in: 1930 Urging an investigation of streetcar service provided by the Los Angeles Railway, which he said deteriorated markedly even after fares were increased. 1930 Unsuccessfully opposing the allocation of funds to make a study of leveling Bunker Hill, which, it was said, "stands as a hindrance to traffic and a bar to development in the northwestern downtown territory." 1931 Voting in favor of appealing a judge's order to end racial segregation in city-operated swimming pools. The pools had previously been restricted by race to certain days or hours. The vote to appeal lost by 8-6. An appeal would have delayed or ended desegregation. 1932 Proposing that the city abandon its municipal airport "because the figures demonstrate that the operation of the port is too expensive and a luxury for the citizens and taxpayers.... Private enterprise in this city has been and is taking care of our aerial needs, and no municipal subsidy is required." The city had leased Mines Field and renamed it the Municipal Airport in October 1928, with McAllister voting against the plan. "Previously, a bond issue for acquisition of an airport had been rejected by the voters." 1932 Warring on "lien sharks" who snapped up properties within the city when the owners, cash poor during the Great Depression, were forced to allow assessment bonds to default. He wanted the owners to be "defended by the City Attorney, City Prosecutor and Public Defender," with "criminal proceedings" perhaps being instituted. 1932 Seeking a probe of possible favoritism toward laid-off city workers in the distribution of financial aid under the provisions of a relief bond issue approved by the voters to help the unemployed.