In all of the scriptures you have mentioned, God is telling those who are hard-hearted and stubborn, and who will insist on being saved by their works, that the only work that will or ever can save them is faith in Jesus Christ.
Which verses?
You said:
Now consider Romans 4:5, But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.
Keep reading.
"What shall we say then? Shall we continue in sin, that grace may abound?
God forbid. How shall we, that are dead to sin, live any longer therein?" (Romans 6:1-2).
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There is therefore now no condemnation to them which are in Christ Jesus, who walk not after the flesh, but after the Spirit." (Romans 8:1).
"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." (Romans 8:13).
So the part in Romans 4:5 that says "justifieth the ungodly" in reference to the believer's past old life. It's talking about how to initially get right with God.
"By whom also we have access by faith into this grace" (Romans 5:2).
2 "Wherein in time past ye walked according to the course of this world, according to the prince of the power of the air, the spirit that now worketh in the children of disobedience:
3 Among whom also we all had our conversation in times past in the lusts of our flesh, " (Ephesians 2:2-3).
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And we know that we are of God, and the whole world lieth in wickedness." (1 John 5:19).
As for the part in Romans 4:5 that says, "But to him that worketh not, but believeth on him... his faith is counted for righteousness."
Again, this is talking about initial salvation.
You did not have to do a work in order to come to God and be initially saved.
Paul is fighting against "Circumcision Salvationism" as the alternative here.
Please, just please read Acts of the Apostles 15:1, Acts of the Apostles 15:5, Acts of the Apostles 15:24. Then read Romans 3:1, Romans 4:9-12, Galatians 2:3, Galatians 5:2, and Galatians 6:15 and it will then be clear in the context of which Paul speaks.
You said:
He justifies the ungodly person. Did you get that? He declares us righteous when we are not righteous!
This is turning God's grace into a license for immorality!!!
Do you not get that?
Please read Jude 1:4 again.
Why on Earth do you think the believers who thought they did wonderful works in his name were told to depart from Jesus? Was it because of their wonderful works? No. It's because they worked iniquity (sin) (See Matthew 7:23).
The context is not greasy grace or a belief alone, either.
This is the context!
26 "And every one that heareth these sayings of mine, and doeth them not, shall be likened unto a foolish man, which built his house upon the sand:
27 And the rain descended, and the floods came, and the winds blew, and beat upon that house; and it fell: and great was the fall of it."
(Matthew 7:26-27).