Final answer:
Richard Nixon capitalized on the controversial issues of civil rights and opposition to the Vietnam War to gain support from Wallace's base, who was also a critic of these Democratic policies. By employing a Southern Strategy that resonated with many Wallace supporters, Nixon was able to keep Democrats divided and win the presidential election.
Step-by-step explanation:
Nixon gained support from Wallace supporters by appealing to similar sentiments on issues such as civil rights, maintaining a stance that resonated with those who were uncomfortable with the rapid changes of the era. By employing a Southern Strategy, Nixon reached out to white voters in the South who felt alienated by the Democratic Party's movement towards civil rights. Additionally, Nixon posited a stance of restoring law and order, which appealed to Wallace supporters dismayed by inner-city riots and the antiwar protests. His claims of seeking an honorable end to the Vietnam War also gained him favor among both liberals and conservatives who were frustrated with the war and its management by the Democrats.