Do not Judge others, or do we Judge others?
John 7:24 Judge not according to the appearance, but judge righteous
Matthew 7:1 Judge not, that ye be not judged.
Judge = krino
Properly to distinguish, that is, decide (mentally or judicially); by implication to try, condemn, punish: - avenge, conclude, condemn, damn, decree, determine, esteem, judge, go to (sue at the) law, ordain, call in question, sentence to, think.
The word "judge" has a wide usage in both the English and the Greek. It can range from discernment to condemnation. For example, in the context of the Matthew chapter seven usage, the prohibition of judgment is regarding the criticism of others while leaving ourselves unexamined.
To draw out of the Matthew passage a doctrine that everything should be embraced even that which is debased, debauched, and corruptive is to imply that the Christian should use no discernment whatsoever.
To understand how "judgment" is to be used requires us to examine the context each time where the word is used.