Brian, just because Paul does not use the specific word μετανοέω does NOT mean that in Romans he does not call sinners to agree with God that their sin is evil and deserves condemnation. In fact, you know Paul does this! So stop playing games.
Paul also sees himself constantly under God's judgment (as well his his own) in Romans 7. He cannot stop sinning.
In 1st Corinthians Paul has no problem "judging" the sin of the incestuous man not to mention "judging" various other sins in Corinth - and Paul does NOT consider himself to be sinning in doing so. In fact, Paul teaches that the Corinthian congregation IS sinning via their pride in the incestuous man's sin rather than engaging in church discipline for the sake of this man's salvation.
The judgment there, as well as in Matthew 18, is about sins against other people within the church. "If a brother sins against you."
The type of "judging" that Jesus and the apostles condemn is a self-righteous judging that fails to see one's own sin and fails to point others to Christ as the only Savior from sin. But in NO place in the NT does Jesus or the apostles teach that we should NOT rebuke particular sins in other people. In fact, both Jesus and the apostles stress that we SHOULD rebuke sin in other people so that they might repent and receive forgiveness in Christ. (Matthew 18:15-20; Luke 17:3 & 24:47; Acts 3:26; Acts 8:22-23; Romans 1:18-32; Romans 2:5 [where Paul rebukes the UNrepentant for their self-righteous judging]; Romans 6:12-13; Romans 13:12-13; Romans 16:17-18; 1st Corinthians 5:1-13; 1st Corinthians 6:9-10; 1st Corinthians 10:1-14; 1st Corinthians 14:37-38; Galatians 5:19-21; Galatians 6:1-2; Ephesians 5:3-17; Colossians 3:5-10; 1st Thessalonians 4:1-8; 1st Timothy 1:3; 1st Timothy 1:19-20; 2nd Timothy 2:25-26; 2nd Timothy 3:1-17; 2nd Timothy 4:1-4; Titus 1:10-16; Titus 3:10-11; James 5:19-20; 1st Peter 4:1-6; 2nd Peter 2:1-22; 1st John 2:3-29; 1st John 4:1-6; 2nd John 8-11; 3rd John 9-10; Jude 3-4) I could list MANY MORE!
But again, you already know this.
Yup, I knew that you would find a way to justify judging other people. (I don't see Paul stating in Romans 2 that repentant sinners are free the the judgment he makes against judging.) I see it more as saying that we do not have the ability to judge as God judges. And as sinful people, we are just as likely to be wrong about our rebukes (see Matthew 16:22; 19:13; 20:31 when the disciples' rebukes were misguided). I'm also quite aware of the parable of the weeds and wheat - that the servants judgment against the weeds; as correct as it might have been, would have done more damage than if they had left them alone and left the judgment up to God at the last days.
Most often, e.g., Matthew 18; 1 Corinthians, we must judge and seek to remove behaviors that are detrimental to the Christian community. "If a brother sins against you" (Matthew 18:15). The issues there about church discipline are the sins we commit against each other.
Brian, Scripture clearly teaches that repentant sinners are to engage in "godly judging" by calling others to repentance for particular sins so that they might confess those sins (1st John 1:8-10) and receive forgiveness through faith in Christ. You know full well that it is wrong to say that the only time we can call others to repent is if they sin against US. When Paul rebuked the incestuous man in Corinth, this man had not sinned against Paul. This man sinned against GOD and OTHERS (which is the case for any sin!), and Paul rebukes him and commands the Corinthian congregation to engage in church discipline with this man so that he might be saved. All the sins Paul rebukes in 1st Corinthians 6:9-10 are NOT sins against Paul himself but sins people have committed against God and others - and Paul still rebukes them and makes it clear that if they refuse to repent they will NOT enter God's Kingdom.
Also, to repent does not mean that one now must live a sinless life. We all know what Paul says in Romans 7:14ff and that we will continue to struggle with the desires of our sinful nature until the day we die. Nevertheless, Paul still calls us to live in daily repentance! This means, at the very least, that we agree with God when He condemns various evil desires, thoughts, words and deeds in our lives, we trust in Christ for forgiveness and we strive to turn from those sins and do better. However, if one affirms sin that God condemns, sees no need to be forgiven for that sin, and fully intends to continue in that sin without remorse, then such a person is in danger of hell unless he/she is brought to repentance and faith in Christ. That's Paul's point in 1st Corinthians 6:9-10. He's not saying that such sins can't be forgiven nor is he saying that repentant believers will never struggle with such sins. What Paul IS saying in 1st Corinthians 6:9-10 is that those who affirm such sins and see no need to repent of them will NOT be in God's Kingdom. That's the same point Paul makes in Romans 1:32.