Apparently, These Individuals Were Inspired By Al-Qaeda Ideology

So What You Mean By Al-Qaeda Ideology Is:

1. Establish True Islamic States
2. Implement The Sharia (Law)
3. Rid The World of non-Muslim Influences,  ... Right?

Wikipedia: Al Qaeda Ideology

The radical Islamist movement in general and al-Qaeda in particular developed during the Islamic revival and Islamist movement of the last three decades of the 20th century, along with less extreme movements.

Some have argued that "without the writings" of Islamic author and thinker Sayyid Qutb, "al-Qaeda would not have existed."[73] Qutb preached that because of the lack of sharia law, the Muslim world was no longer Muslim, having reverted to pre-Islamic ignorance known as jahiliyyah.

To restore Islam, he said a vanguard movement of righteous Muslims was needed to establish "true Islamic states", implement sharia, and rid the Muslim world of any non-Muslim influences, such as concepts like socialism and nationalism. Enemies of Islam in Qutb's view included "treacherous Orientalists"[74] and "world Jewry", who plotted "conspiracies" and "wicked[ly]" opposed Islam.

In the words of Mohammed Jamal Khalifa, a close college friend of bin Laden:

Islam is different from any other religion; it's a way of life. We [Khalifa and bin Laden] were trying to understand what Islam has to say about how we eat, who we marry, how we talk. We read Sayyid Qutb. He was the one who most affected our generation.[75]

Qutb had an even greater influence on bin Laden's mentor and another leading member of al-Qaeda,[76] Ayman al-Zawahiri. Zawahiri's uncle and maternal family patriarch, Mafouz Azzam, was Qutb's student, then protégé, then personal lawyer, and finally executor of his estate—one of the last people to see Qutb before his execution. "Young Ayman al-Zawahiri heard again and again from his beloved uncle Mahfouz about the purity of Qutb's character and the torment he had endured in prison."[77] Zawahiri paid homage to Qutb in his work Knights under the Prophet's Banner.[78]

One of the most powerful of Qutb's ideas was that many who said they were Muslims were not. Rather, they were apostates. That not only gave jihadists "a legal loophole around the prohibition of killing another Muslim," but made "it a religious obligation to execute" these self-professed Muslims. These alleged apostates included leaders of Muslim countries, since they failed to enforce sharia law.[79]

A Lone Wolf ... Whipped Up By A Mosque