They're fighting over who gets to establish the Islamic Caliphate. You have the Turks who want to recreate the Ottoman Empire. Then the Iranians or the Arabs who gets to set up the Caliphate. They want to conquer Israel today. Europe tomorrow. Then America next week.
They seem to want Crusades II.
Yes he like Putin want to recreate their former glorious empires. He can’t not least because he doesn’t have the resources. The Arabs won’t let him. They won’t be led by a Turk. Neither will the Persians. They are rhetorical allies today but in the real world, for the goal you stated, they are rivals. The Saudis only rule today because of the Ottomans dismantling.