And they are wrong about that, aren't they? But does God's soverignty include being the author and finisher of our damnation and the author and finisher of our sins? I think not. God's soveringty is infinite. His love is infinite. His mercy is infinite. His grace is infinite. If you recognize that, then you must recognize that God could not possibly be the "author" of our sins nor the "author" of our eternal damnation. It simply would not fit into "the good pleasure of His will."
Arminianism is wrong inasmuch as it denies the absolute soverignty of God. Calvinism is wrong inasmuch as it denies that God really does gives man a choice when he commands man to "Choose life." (God does not draft illusory contracts).
Man's ultimate free will and God's absolute soverignty are no more mutually exclusive than the fact that the Father is God, the Son is God, the Holy Spirit is God and yet, there is only one God.