Nope. God doesn't know one as His son until they believe upon Jesus. Once one believes, God predestines them to the future adoption, which is the redemption of the body. It's when the believer will be conformed to the image of Christ.
I can't agree with you there.
We are predestined to be justified (believe).
We are not justified (believe) to be predestined.
Eph 1:3-5 (to which you are referring) is saying the same thing but it just jumps a few gaps.
Furthermore we are being conformed to the image of Christ day by day, here and now if we maintain obedience.
2Cor 3;18
But we all, with unveiled face, beholding as in a mirror the glory of the Lord, are being transformed into the same image from glory to glory, just as by the Spirit of the Lord.