I disagree that grace and works must be kept separate in the New Covenant. John Calvin believed that while we are saved by grace alone, there would be a judgment on the White Throne to reward those save of the good works they had done. Secondly I believe most evangelicals would agree that after being saved their lives should reflect that faith by prayer, leading holy lives, and good works as well.
I think we are in agreement.
What i meant by that is that salvation is by grace alone, as written in Ephesians 2:8-9. Works are rewarded, as you have said.
I was suggesting that a saved person will desire to live a life pleasing to the Lord (with the Holy Spirit indwelling in them that desire becomes natural), as opposed to -for example - grudgingly doing good works because they ‘should’.
It seems to me we agree. Or at least for the most part.