United States Senate election in New Mexico 1972 Tags: Election.The 1972 United States Senate election in New Mexico took place on November 7 1972. Incumbent Democratic U.S. Senator Clinton Presba Anderson did not run for re-election. Republican Pete Domenici defeated Democrat Jack Daniels to win the open seat. thumbnail start date 1972-11-07 title United States Senate election in New Mexico 1972 Learn more... Loading...