From the texts, which highlight unbelievers turning to the Lord, we can gather that it’s a turning of a life lived with oneself as the central object of worship unto a live lived set apart unto God. And when one turns to Christ, there is an initial and immediate spiritual transformation, which precedes the final glorification of one’s body and soul.  Remember what we read from 1 Thess. 1:9…how you turned to God from idols to serve the living and true God…    After one is converted, there by no means is a life lived in perfection, but it is surely a life of an entirely different direction.  How could it be anything else, having encountered the power of God, which Paul compares in 2nd Cor. 4 to the same power that brought light into the darkness in the creation account?
This turning component must summarize your conversion story in a nutshell—”This is what I was living for and these were the driving motives of my life, but when the grace of God through the good news of Jesus Christ saved me, I turned to him.  He is my master now and his will is supreme and always takes precedence.”  That is what the power of Christ does.