What does it mean that bin laden and his followers are pathologically jealous of the western world?

The statement made in the question is a subjective assessment of a situation, therefore, it is not a universal truth.

Osāma bin Lādin (19571 - 2011), known as Osama bin Laden was a jihadist terrorist of Saudi origin known as the creator of the al Qaeda terrorist network.

Al Qaeda is a paramilitary, jihadist organization that uses bloodthirsty practices to dominate its adversaries: like murder or torture.

The organization believes that an alliance led by Israel, EE. UU and the countries of Western Europe conspire against Islam. Islam is an Abrahamic monotheistic religion whose dogma is based on the Koran, which states that "There is no God but Allah and that Muhammad is the last messenger of Allah."

In other words, Islam wants to prohibit a basic right for the Western world: freedom to express which includes the freedom to choose a religion.