Thanks, some of the defenders of exhaustive determinism also claim God is not the author of sin. The fact that is an irrational position does not phase them, once they shroud their doctrine in the invisibility cloak of "its a mystery."Yes God is sovereign over His creation.
He is just not "absolutely sovereign"/ deterministic as your religion requires Him to be.
Your deterministic view would require that God be the actual cause of all the sin and evil in the world and thus responsible for such.
The bible is clear that God is not so that would have to mean that your view is wrong.