Absolutely, no one is justified by it. Not at all. That's not what we're saying, nor is it what the bible says.
You mentioned Paul. In Romans 7 he tells us the point of the law -
Romans 7:7 - What shall we say, then? Is the law sinful? Certainly not! Nevertheless, I would not have known what sin was had it not been for the law. For I would not have known what coveting really was if the law had not said, “You shall not covet.”
He then goes on to say:
Romans 7:14-25
14 For we know that the law is spiritual: but I am carnal, sold under sin.
(The law is spiritual, remember this)
15 For that which I do I allow not: for what I would, that do I not; but what I hate, that do I.
16 If then I do that which I would not, I consent unto the law that it is good.
17 Now then it is no more I that do it, but sin that dwelleth in me.
18 For I know that in me (that is, in my flesh,) dwelleth no good thing: for to will is present with me; but how to perform that which is good I find not.
19 For the good that I would I do not: but the evil which I would not, that I do.
20 Now if I do that I would not, it is no more I that do it, but sin that dwelleth in me.
21 I find then a law, that, when I would do good, evil is present with me.
22 For I delight in the law of God after the inward man:
23 But I see another law in my members, warring against the law of my mind, and bringing me into captivity to the law of sin which is in my members.
(So, in verse 15 He says that which he wants to do, he doesn't, and that which he doesn't want to do, he does. What's he talking about? He's about to tell us, but what he wants to do, is keep God's law, and what he doesn't want to do, is break it.
In verse 16, He says he does what he doesn't want to do, and agrees that God's law is good.
Then in verse 20, since he agrees that God's law is good, and that he desires to obey it, but - as verse 18 points out - his flesh is sinful, and prevents him from being perfect in the law. The important part though, is that he desires to keep God's law, and
in verse 22 he says that his mind desires and is pleased by the law of God.
In verse 23 however, he says that there is another law that is in him, warring against his mind's desire to do God's law. That is, as we see from verse 18, in his flesh, and the law he's referring to that's waging war against his mind's desire to keep God's law, is the law of sin and death.)
24 O wretched man that I am! who shall deliver me from the body of this death?
25 I thank God through Jesus Christ our Lord. So then with the mind I myself serve the law of God; but with the flesh the law of sin.
(He then explains that he is irritated and sickened by himself in verse 24, that he can't keep God's law,
and in verse 25, he says that he thanks Jesus for deliverance from this issue. He then goes on to say that with his mind and as he said earlier, his will, he will serve and desire the law of God, but with his flesh, the law of sin and death.)
Then, in Romans 8 (Remember I said remember that the law is spiritual)
1There is therefore now no condemnation to them which are in Christ Jesus, who walk not after the flesh, but after the Spirit.
2 For the law of the Spirit of life in Christ Jesus hath made me free from the law of sin and death.
(As Paul stated in Romans 7, Jesus was what freed him from the law of sin and death, which was as Paul stated, his flesh breaking the law of God, even though his mind and will desired to keep it.
Also, the law is spiritual. It is spirit. The things of the spirit are life, and the things of the flesh are death. In verse 1, when it's talking about walking, your walk is how you desire, the actions you choose to make, the path you choose to take. So if you choose to be without the law of God, then you are walking in the flesh, as Paul will directly tell us a few verses from now)
3 For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh:
4 That the righteousness of the law might be fulfilled in us, who walk not after the flesh, but after the Spirit.
5 For they that are after the flesh do mind the things of the flesh; but they that are after the Spirit the things of the Spirit.
6 For to be carnally minded is death; but to be spiritually minded is life and peace.
7 Because the carnal mind is enmity against God: for it is not subject to the law of God, neither indeed can be.
(Here Paul tells us in verse 7, that the carnal mind is enmity against God, and then he goes on to say that the reason it's an enemy to God, is because it's not subject to the law of God, nor can the carnal mind be. Also, note how he said in Romans 7 that his mind was spiritual, and desired God's law which is spiritual also.)
8 So then they that are in the flesh cannot please God.
9 But ye are not in the flesh, but in the Spirit, if so be that the Spirit of God dwell in you. Now if any man have not the Spirit of Christ, he is none of his.
10 And if Christ be in you, the body is dead because of sin; but the Spirit is life because of righteousness.
11 But if the Spirit of him that raised up Jesus from the dead dwell in you, he that raised up Christ from the dead shall also quicken your mortal bodies by his Spirit that dwelleth in you.
(I highlighted this portion, because if we look at that phrase "quicken" - it didn't just come from Paul. That phrase is all over the scriptures, so if we look back to see which verses used it, we can see more of what he means by the spirit of Jesus will quicken us from our sinful ways. I'll link a few of the verses here, and then I'll link them again after the rest of my Roman 8 reference.
Psalm 119:50
Psalm 119:92-93
Psalm 119-25-27
Psalm 119-36-40
Psalm 119-92-94)
12 Therefore, brethren, we are debtors, not to the flesh, to live after the flesh.
13 For if ye live after the flesh, ye shall die: but if ye through the Spirit do mortify the deeds of the body, ye shall live.
(Here, in verse 13, just as Romans 7 points out, where he was sickened by his flesh and his inability to keep God's law, this is what he's talking about by mortifying the deeds of the body. We aren't supposed to want to go our own way, because His Spirit being in us, makes us desire the law of God, and no longer the ways of the flesh.
As the bible says: Proverbs 14:12 - There is a way which seemeth right unto a man, but the end thereof are the ways of death.)
Ezekiel 36:26-27 shows us what it means to have God's spirit living in us, and it looks exactly as Paul described for us. We will desire to comply and submit to the law of God. Not for salvation, but because we already are saved, and out of thankfulness, love and a change of heart (from stone to soft flesh) we desire to keep the will of God. To avoid sinning, just as Paul described in Romans 7
But what is sin?
1 John 3:4 - 4 Whosoever committeth sin transgresseth also the law: for sin is the transgression of the law.
It's the transgression of the law. Sin, is walking after the ways of the flesh, and not submitting to God's law, as Romans 8:7 tells us.
But yeah, I promised to show what those verses said for Psalms. Since this message is long enough already, I'll link it in two.