You are correct sir. The only thing I would say, for the benefit of people in other religions, is that you probably need to accurately, and in great detail, define what true faith is.
The verse that says devils believe, and tremble, does not qualify as true faith. 😁
Saving faith is detected by the way the life proceeds from the confession that Jesus is the One Whom God sent for our redemption. Faith is an action word, something to be exercised daily as His family members.
The temptations of life will not disappear upon being born again, but if the worldly still has our attention we should examine our self. Calling out to the Lord of Grace is a daily routine with the born again, for we have begun a relationship with the Sinless One and as members of His family, we are to grow in grace and knowledge that reflects the family nature.
The devils don't have saving faith because their pride refuses to ask for forgiveness and seek His guidance. Devils know Jesus but refuse to be humble and grow in grace and knowledge of His nature and His family. Scripture tells us that the broken and contrite heart God will in no way cast out.
I have grown to hate the sin nature which burbles up occasionally. But He is faithful (continually on the scene in my spirit which was once dead) to cleanse me from the act of anger or pride or deceit which I have grown to hate in the old man still scruffling around in this old body.
Thanks be to God, a new behavior mechanism and new body fit for eternity is coming soon to a spirit which belongs to Him. My old nature no longer owns this old body or this old mind. How is this done, with the old man of sin still in residence? well, by faith daily exercised that He will raise us up in the way that we should go.
Hearing the still small voice telling us not to do certain things we are drawn to, then striving daily to avoid those things by the power of His love and constant pre4sence in us is growing in grace and knowledge.