Righteous judgement is exactly my point. We’re to judge other believers, that includes those who claim to be belivers, such as false teachers. We’re not to be yoked with unbelievers and we’re not to judge them.
Every single one of the verses you cited at the end of your post has to do with judging believers or those who claim to be believers. That’s exactly what 1 Corinthians 5 instructs us to do.
I have no problem defending the faith to those who oppose it...that requires making judgements...and yes of ‘unbelievers’ on what they are saying as well as who they are influencing.
I have learned long ago that often conversations are rarely intended for the individual you’re speaking with as much as those standing by listening, who are and can be affected by the discussion or debate.
Also I don’t think we should attempt to limit the Lord wanting to affect those who oppose us....how can they know what sin is in the world we live today unless it is “defined” for them?.... That can mean judging what they do believe, the standard they are using, and pointing out the differences and distinctions. Which means making judgements.