They no longer appeared to be a unified front.
The US refused to support the alliance between Israel, France, and Britain due to fears of drawing in the Soviet Union to the conflict.
The Suez Crisis showed that the major powers of the world had become split when a threat of nuclear war was on the table. The Suez Crisis presented a threat of nuclear war as the Soviet Union suggested they would come to the aid of Egypt. Eisenhower decided to keep the US out of the conflict because he believed that action would trigger Soviet Union response. The US not coming to aid Britain and France demonstrated some disunity among the major powers.