It strengthened Fidel Castro's position. The bay of pigs was a failed attempt to remove him from power. When it failed the U.S was exposed as trying to start a revolution with one of their "allies". This really hurt the U.S in the future because it led other countries not to trust them.
Eisenhower believed that it was very important to keep a non-Communist government in Vietnam. It was believed by many at that time that Communists all over the world were united in a international conspiracy and their plan was to topple non-communist governments one by one until they achieved world wide domination.
There were many ideas that Rousseau and Voltaire gave the french people, but perhaps the most important was the idea of liberty and freedom from tyranny.