Yes - absolutely.
The authoritarian personality is actually weak and frightened and terribly insecure. That's a lot of what drives them - they have to have as much control as possible because the thought of not having control terrifies them.
Odd though it might seem, there's a great lesson in all of this in the movie Tank Girl.
The villain, fittingly played by Malcolm McDowell, is a cold, sadistic, arrogant manipulator. He's trying to turn the protagonist Rebecca, who he recognizes as a potential strong ally. And she not only defies him, but continuously makes fun of him and belittles him. He ends up sending her off for a particularly horrific psychological torture, at the end of which he calmly and malevolently expects her submission, and instead she's still making fun of him. His pose finally collapses and shaking with rage he grabs a gun and points it at her, and she just looks at him and smiles and croaks out, "I win."
The authoritarian has no sense of personal power. That's why they have to surround themselves with the trappings of their adopted and assembled power - because that's all they have.
There are two broad types of powerful personalities - the would-be tyrant, who preens and manipulates and schemes and struts and surrounds himself with conjured and desperately protected authority, and the stolid, quiet person who simply sits off to the side, wholly determined to manage their own lives as they see fit and wholly confident of their ability to do so.
And of the two, the latter is far, far stronger than the former. And the former know it.
In some ways the worst part is that he doesn't even want to destroy them as part of some grand scheme to reshape the world - he wants to destroy them because he's a fragile egotist with the emotionsl maturity of a toddler who can't stand not getting his way.