We believe man does have a choice to do what he wants to do.The question is what shapes the choice? What is the desire of mans heart?
Psalm 51 5 Behold, I was shapen in iniquity; and in sin did my mother conceive me.
Romans 3
9 What then? are we better than they? No, in no wise: for we have before proved both Jews and Gentiles, that they are all under sin;
10 As it is written, There is none righteous, no, not one:
11 There is none that understandeth, there is none that seeketh after God.
I would argue that without the grace of God the blind can not see their sin to repent, the deaf can not hear the gospel to be saved,the dead can not seek after God.
Acts 3:19 Repent ye therefore, and be converted, that your sins may be blotted out, when the times of refreshing shall come from the presence of the Lord.