How is a real choice not predetermined? I think you have a tremendous philosophical obstacle to overcome here, because of these Biblical statements:
1. men do not come to the light because they love darkness
2. the god of this world has blinded the minds of the unbelieving so that they cannot see the light of the gospel
3. those who oppose gospel truth are held captive by the devil to do his will
4. no one is righteous (that is, before believing in Christ)
5. the fleshly mind cannot submit to God
6. the world is under the control of the evil one
And there are many others. Rom. 3:10-18 ought to give us enough evidence that no one in their natural state is able to make any righteous decision in regard to what God considers righteous. And since faith in Christ is considered righteous by God, no unrighteous person could do it. Therefore, my statement can't be a straw man, because it is based on what scripture clearly teaches. God has to supernaturally bring an individual to life while they are hearing the gospel. That is what Eph. 2:5 means "
even when we were dead in our transgressions, made us alive together with Christ (by grace you have been saved)." God "made us alive" by His supernatural working. Because of His love He predestined us (Eph. 1:5), which is described in 2:5 as to how He did it. Therefore, God had to predetermine our faith and choice to obey the gospel, otherwise we could not be saved, and likely wouldn't even want it, since we would still be lovers of darkness.
TD