al-Qaeda’s core tenets call for the establishment of a worldwide Islamic Caliphate that will bring everyone into conformity and compliance of Shari’a (Islamic law)
That is a bit of exaggeration. Their main issue is with US support of Israel, somewhat unconditional mostly. They have lot less interest in Allan from Fallbrook following Sharia. They use this sales pitch for recruitment as it sounds loftier than just saying “let us kill the Americans”.