Here's the problem, the CSB included part of verse 5 into verse 4. It should have been printed as: "4 since the weapons of our warfare are not of the flesh, but are powerful through God for the demolition of strongholds. 5 We demolish arguments and every proud thing that is raised up against the knowledge of God, and we take every thought captive to obey Christ." That's why it looked like something whoever wrote the CSB added onto verse 4.
That aside, I consider it a poor translation of kathairountes.
Furthermore you said that you demolished my argument. If you're saying that you were applying that statement according to 2 Corinthians 10:5 (not 10:4, but 10:5) you're saying that my saying salvation isn't earned by works and performance and a do-it-yourself thing, exalts itself against the knowledge of God. Is that really the context you want to go with?
The KJB is my final Word of authority but in this particular instance, the CSB is paraphrasing what the KJB basically says when you read verses 4 and 5 together. In this instance they are basically saying the same thing. To pull down strongholds is to demolish arguments that exalts itself against the knowledge of God. The overall broader context in view in 2 Corinthians is that Paul is talking about the Corinthians repenting after a godly sorrow (2 Corinthians 7:10).
“For godly sorrow worketh repentance to salvation not to be repented of: but the sorrow of the world worketh death.” (2 Corinthians 7:10).
The Corinthians sought forgiveness with the Lord Jesus Christ by way of prayer (with a godly sorrow) with the intention of forever putting away the sins that they were doing.
Paul says in 2 Corinthians 12,
“For I fear, lest, when I come, I shall not find you such as I would, and
that I shall be found unto you such as ye would not: lest
there be debates, envyings, wraths, strifes, backbitings, whisperings, swellings, tumults:
And lest, when I come again, my God will humble me among you, and
that I shall bewail many which have sinned already, and have not repented of the uncleanness and fornication and lasciviousness which they have committed.” (2 Corinthians 12:20-21).
“Examine yourselves, whether ye be in the faith; prove your own selves. Know ye not your own selves, how that Jesus Christ is in you, except ye be reprobates?” (2 Corinthians 13:5).
How can we have an assurance that we know that Christ is in us (thereby not being reprobate)?
“And hereby we do know that we know him, if we keep his commandments.” (1 John 2:3).
Yet, the person who says they know the Lord and they don't keep his commandments is said to be a liar and the truth is not in them.
“He that saith, I know him, and keepeth not his commandments, is a liar, and the truth is not in him.” (1 John 2:4).
Side Note:
Oh, and you ignored Acts of the Apostles 3:23 and Matthew 7:26-27.
Again, these verses show that you must obey the Lord Jesus and not just believe on Him alone. Please set aside your difference in how you feel about me personally and just read these verses very slowly and pray about them in what they actually say, my friend.