Which motive is common to al-qaeda, isis, and other islamic extremist groups?

The motive that is common to al-Qaeda, ISIS, and other Islamic extremist groups is the following; 

Create a government based on religion. 

The extremist groups like al-Qaeda and ISIS believe that they are fighting in the name of Islam and the Islamic teachings. They want to create a government on the basis of the Sharia law. 

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