Jesus is our righteousness.
We were all MADE righteous (in God's eyes) by his act of obedience.
Romans 5:18-19
Consequently, just as one trespass resulted in condemnation for all people,
so also one righteous act resulted in justification and life for all people.
19 For just as through the disobedience of the one man the many were made sinners, so also through the obedience of the one man the many will be made righteous.
This is another really good example of UR basing doctrine on scripture taken out of context. The context is faith and sin. Because of our faith in Christ we no longer are under the power of sin and should not be living in sin. It's about FAITH in Christ and how we live and are free because of that faith. It is NOT about salvation for all regardless of faith or not.
Being therefore justified by faith, we have peace with God through our Lord Jesus Christ;through whom also we have had our access by faith into this grace wherein we stand; and we rejoice in hope of the glory of God.And not only so, but we also rejoice in our tribulations: knowing that tribulation worketh stedfastness;and stedfastness, approvedness; and approvedness, hope:and hope putteth not to shame; because the love of God hath been shed abroad in our hearts through the Holy Spirit which was given unto us.For while we were yet weak, in due season Christ died for the ungodly.For scarcely for a righteous man will one die: for peradventure for the good man some one would even dare to die.But God commendeth his own love toward us, in that, while we were yet sinners, Christ died for us.Much more then, being now justified by his blood, shall we be saved from the wrath of God through him.For if, while we were enemies, we were reconciled to God through the death of his Son, much more, being reconciled, shall we be saved by his life;and not only so, but we also rejoice in God through our Lord Jesus Christ, through whom we have now received the reconciliation. - Romans 5:1-11
Bible Gateway passage: Romans 5:1-11 - American Standard Version
What shall we say then? Shall we continue in sin, that grace may abound?God forbid. We who died to sin, how shall we any longer live therein?Or are ye ignorant that all we who were baptized into Christ Jesus were baptized into his death?We were buried therefore with him through baptism into death: that like as Christ was raised from the dead through the glory of the Father, so we also might walk in newness of life.For if we have become united with him in the likeness of his death, we shall be also in the likeness of his resurrection;knowing this, that our old man was crucified with him, that the body of sin might be done away, that so we should no longer be in bondage to sin;for he that hath died is justified from sin.But if we died with Christ, we believe that we shall also live with him;knowing that Christ being raised from the dead dieth no more; death no more hath dominion over him.For the death that he died, he died unto sin once: but the life that he liveth, he liveth unto God.Even so reckon ye also yourselves to be dead unto sin, but alive unto God in Christ Jesus.Know ye not, that to whom ye present yourselves as servants unto obedience, his servants ye are whom ye obey; whether of sin unto death, or of obedience unto righteousness?But thanks be to God, that, whereas ye were servants of sin, ye became obedient from the heart to that form of teaching whereunto ye were delivered;and being made free from sin, ye became servants of righteousness. - Romans 6:1-11,16-18
Bible Gateway passage: Romans 6:1-11, Romans 6:16-18 - American Standard Version