In his first reelection bid, Mizell defeated Democrat James G. White, 68,937 (58.1 percent) to 49,663 (41.9 percent). He was endorsed that year by Americans for Constitutional Action (ACA). Charles McManus, the ACA's president, said, "He has repeatedly stood for fiscal responsibility; firm responsible opposition to the Communists; and for law and order in our streets and institutions of learning." In a 1971 speech to Congress, Mizell voiced his support for MLB's antitrust exemption. "hrough baseball, opportunities have been afforded to young men who otherwise would not have been able to fully enjoy the American dream. Baseball builds character into young men who are going to be the leaders of the future." In 1972, he trounced former Arkansas Congressman Brooks Hays, who had moved to North Carolina, 101,375 (64.8 percent) to 54,986 (35.2 percent). During this term, he was a cosponsor of House Resolution 6992, which proposed equal rights to broadcast media outlets for the chance to broadcast sporting events. In 1972, he chaired a committee that tried to set up a Billy Graham Crusade in Washington, D.C., in 1973.