Turning to Christ, is this an act of belief and/or faith when done by an unbeliever? No, nor is it being saved. Is it part of the process of one coming to believe? I would say so, yes. It is an act of the seeker, and, God wants us to seek Him, it is explicitly written, and it is promised He will reveal Himself to those who do, all the while
Does the seeker choose to seek God who has revealed Himself in all men?
all the while, He is drawing us with loving kindness, being patient with us.
How is God's drawing explained by Jesus?
To hear some speak they must be outraged that God is drawing them without their explicit permission, such a violation of their imagined free will.
I've not seen someone take issue against God drawing men to His Son and thus to Himself. As I read the instruction on the drawing of men by God the Father and by Jesus Christ, it can both be understood and accepted or rejected by the choice of unregenerate men.
Care to begin in Scripture looking at God's drawing of unbelievers to discuss what we see?