I disagree that they are being saved. They are already saved and learning how to live as saved people. This is much the same as the law in the OT. God chose Israel as His people, and gave them the law to have them live as His people. The law being on the hearts of God's people now, and the Holy Spirit indwelling them, God has merely to will and to do of His good pleasure to show His people how to live as His people.Interlineated answers.
The idea that our efforts in any way contribute to our salvation is false. Our efforts can only quicken or lengthen the time it takes God to do His work, but His work is done by Him alone. And He will conform us to the image of Christ with our cooperation or our chastening and consequent cooperation.
You simply don't understand what God is teaching in the passage.