Out of context scripture.
1) We will judge the angels in the new heaven and earth....surely you don’t think you are judging angels now?
2) Withdrawing from bothers - this is disassociating ones self from backsliding Christians....a “brother” is not an unbeliever. We are told to love our enemies.
3) Same thing with your 2 Tm and Romans verses - they refer how to handle BELIEVERS in sin, not unbelievers.
How did Jesus handle unbelievers? “I came not to judge the world, but.....”
What about the parable Jesus told about those who were forgiven much, and then they wanted payback.
Brother, you better be VERY careful about judgement, unless you want it to be done to you as you do it to others.
Best to leave judgement in God’s hands. Even Jesus delayed judgement of the world until his second coming.....why would you jump the gun?
There is a difference between judgement and disapproval of actions.
If you are going to claim this, then you'd best put it back IN context, instead of trying to 'explain' things.