Eisenhower didn't so much address Americans' Cold War fears as exacerbate them. And one of the ways he did this was by allowing the anti-Communist witch-hunts of Senator Joseph McCarthy to go unchallenged. Although Eisenhower had no time for McCarthy, either personally or politically, he nonetheless refused to condemn his campaign against alleged Communist influence in the government.
The President knew just how popular McCarthyism was with large swathes of public opinion, not to mention the Republican grassroots. The prevailing atmosphere of Cold War anti-Communism had been very beneficial to the GOP, allowing the Republicans to ride Eisenhower's coat-tails to victory in the 1952 House elections. So long as the Communist threat remained alive in the popular imagination, it was likely that the Republicans would continue to reap the electoral rewards.
In addition, the Eisenhower Administration's aggressively anti-Communist foreign policy, which involved the active funding and support of right-wing dictatorships to prevent the spread of Soviet influence, depended for its continued support upon an atmosphere of fear and uncertainty at home. Rightly or wrongly, Americans on the whole were fearful of what Communism might bring, and the Eisenhower Administration was only too willing to exploit those fears to garner support for its policy agenda.