loving sinners

What I'm hearing more often from some unsaved people is...like a street preaher will preach about sins to come out of, and the (obviously unsaved) people will argue back that the (true)Christian who is preaching an ACCURATE message,that Jesus loves the sinners, but they must not practice it...

Christians emphasize loving and forgiving sinners, and not judging unrepentant ones. However, to me, I see a little quirk in this. I think there's a fine line between being "loving" towards the worst sinners, and approving of, and giving a green light to them. Furthermore, the sinners might...