Choices have parameters. I am free to choose to become a clerk at a 7-11, but I am not free to choose to become a professional baseball pitcher. Yet, as to occupation I still say I have free choice. The important parameter to note here is consistency with one's own nature. We say that God is free and sovereign to do whatever He wants. However, He is not free to choose to cease existing. That is outside His nature, yet we still say He is free. Similarly, a lost person has choice, but he is not free to choose to do good in God's eyes. That is outside his nature. Once God changes his nature, through salvation, then he is free to do good.
Similarly, a lost person has choice, but he is not free to choose to do good in God's eyes. That is outside his nature. Once God changes his nature, through salvation, then he is free to do good.
It still seems to me you are saying only saved Christians can choose to do good.
Is this a correct stating of your view?