100%!

Yes, we are not to judge others, for we don't know what their soul is going through, but at the same time, as we build relationships with others, including those outside of the church, we are called as Christians to evangelize.

Evangelizing can also look like bringing others to repentance to God. To the adulteress that you referred to who was about to be stoned, Jesus told her to "sin no more." (John 8:11) Of course, this comes with nuance and we should be prudent with our timing so that we don't appear to be "Bible bashers."