If God turns His back on sinners, then why send His Son at all? He came when we were at our worst. If we believe that God is Love and loves us unconditionally, how can we believe that He would turn His back on us for our sins? We turn our backs to Him when we sin.
After you die, it's not how many sins did you commit but "what did you do with my son, I sent Him to die for your sins, did you accept that or not? "