Were people confident in the power of the Carolingians?

To what extent was there a sense of confidence that the Carolingian dynasty could maintain its power and empire and not collapse like the Roman empire had done? Did people really believe that things were different this time round, that the Franks were indeed the chosen people of God, and that God would ensure their lasting success? Did the Carolingian Renaissance play a role in creating such a new confidence and outlook?