No sir you have it wrong. The same laboring for what people trusted in the OT is the same in the NT. The 11 Apostles and the Apostle Paul labored for the Gospel, planted churches and were persecuted for not only what they said but what they did.
Paul spends a lot of ink telling the churches how much he had labored for the Lord. His labor was not salvific but the results of:
“For we are His workmanship, created in Christ Jesus for good works, which God prepared beforehand so that we would walk in them.”
You are creating a dichotomy which is not present in Holy Scriptures.
There is nothing we do to save ourselves. There is nothing we do to “keep” our salvation. We are Justified, Sanctified and will be Glorified by Grace through faith. All the Finished Work of Jesus Christ.
“But that no man is justified by the law in the sight of God,
it is evident: for,
The just shall live by faith.” (
Galatians 3:11)
And cover to cover in the Bible those who lived by Faith did not sit on their hands. They acted on the promises and commands of God.