I agree. The payment for sin doesn't make one rigtheous, and we must have the righteousness of God to enter heaven.
The real question is: How do sinners become righteous?
a. By their decision to believe the gospel?
b. Or by the legal imputation of Christ's righteousness?
(Answer is "b".)
Christ's blood offering for sin, remitted sin, making it legally viable for God to declare the elect pardoned. Christ's righteousness could not be imputed to His children, if He did not first fulfill all righteousness and forgive (justify) sin; erasing all offenses and crimes from the records of His people.
The teaching of Limited Atonement is not a teaching that Christ's death was limited or insufficient to remit the sins of all, but rather, the teaching that the "limitation" was the application of the blood which was determined by Godly election.
The remission of sins, and the imputation of righteousness, was limited and thereby applied only to the particular elect souls, given to Christ to save, by the Father.
Though all sin has been paid for,
Not all sin was paid for; else there would be no future judgment and anticipation of hell.
The value and worth of the sacrifice of Jesus Christ was sufficient to save all, but His death and imputed righteousness is not applied to sinners universally. His atonement is limited according to God's Unconditional Election.
and the gift is unto all, but it is only upon those that believe & receive the righteousness of God.
This is a logical contradiction.
Salvation comes by the gift of grace. If that gift requires a human decision that either chooses to receive that gift or not, then grace is lost, for that kind of "belief" is a human action and work.
If the death of Christ is contingent upon sinners' choices to be effectual, then indeed His atonement loses value and becomes limited according to the will of man; rather than being invaluable and totally sufficient but efficacious according to the will of God.
Romans 3
21: But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets;
22: Even the righteousness of God which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference:
23: For all have sinned, and come short of the glory of God;
24: Being justified freely by his grace through the redemption that is in Christ Jesus:
25: Whom God hath set forth to be a propitiation through faith in his blood, to declare his righteousness for the remission of sins that are past, through the forbearance of God;
26: To declare, I say, at this time his righteousness: that he might be just, and the justifier of him which believeth in Jesus.
I underlined the most significant points in this passage, which is, righteousness belongs to God, and does not emanate from sinners. No sinner is inherently righteous. Only the Man, Jesus Christ proved to be righteous. No sinner can choose to be faithful and believe unto righteousness, without the regenerating power and Spirit of God.
Righteousness comes from God, to whom He wills to save, according to grace. All of the elect of God (who prove to be all kinds of men; a remnant chosen out of all the nations [Rev. 5:9; 7:9]) will believe the gospel, and exhibit faith in God, because all of these are also called and regenerated to new life by the Holy Spirit of the Christ who died for them . . .alone.
Nang