To Judge or Not to Judge???

As I read John 8:11-40, I can't help but see that judging is a major theme. It starts out with the Jews putting an adulterous woman before Jesus, they were seeking to trick Him. They wanted to see if He would condemn her (judge her) or not. His response was "He who is without sin among you, let him be the first to throw a stone at her." (Jn 8:7) So naturally they could not stone her because nobody is without sin. Jesus was pointing out a good point that we are not to judge the sins of others.

But later on, Jesus tells the Jews that "unless you believe that I am He (God), you will die in your sins." (Jn 8:24) We as sinners should not be in the role of judging others for the sins that they commit, but we are in the job of leading sinners to God (and Salvation). So as we look at a person's life, if we see that they are living a lifestyle of sin (and are not repentant of it), then we need to (as Christians) point out there sin. Because even though Jesus did not judge that woman, He will judge each person for their actions on this earth.