Ike had the final say of course, the author needs to buy a clue.
Nasser was already in bed with the Soviets when we declined to help fund his dam. Dulles tried to play nice but Nasser kept playing both sides.
Exactly. The UK and France wanted the canal back, and Nasser had abrogated a treaty in seizing it. The US hadn’t been informed of the intervention in advance, and the UK and France accidentally-on-purpose delayed their entry into the melee to allow Israel to take the fall for a planned joint action. The Soviets were rolling tank treads all over the Hungarians, but that didn’t stop them from yelling about aggression (sound familiar?) and threatening (sound familiar?) Europe with nuclear bombing over the Suez intervention.