Outwardly conforming (συσχηματίζω) means putting on a mask to appear as something you’re not. It is to conform one’s mind and character to another’s pattern.
Suschēmatizō (συσχηματίζω) is derived from a word that means to be in the appearance or likeness of something else. When God the Son wrapped Himself in flesh, He was found in the likeness of a man; however, He was still fully God. He emptied Himself of His outward display of Deity and wrapped Himself in flesh, Philippians 2:8. As Christians, we are not part of the world system, for in Christ we are crucified to it, and it to us. However, Christ chose not to remove us from it; therefore, we are to use it but not abuse it, realizing that the outward form of the world is always changing, 1 Corinthians 7:31. It is the one who does the desirous will of God that abide into the age, 1 John 2:17.
In Romans 12:2, we are instructed not to put on a mask (outwardly conform ourselves) as though we are under law. Christians do not govern their lives by law, Romans 6:14. We are not to be inarticulate babblers who need a tutor because we are sons, Ephesians 1:5 (having marked off our bounds to the placement of sons through Jesus Christ unto Himself, according to the good pleasure of His desirous will). Sons do not need governors and tutors, which is what the law served as, Galatians 3:24. In contrast to living by law we are to train our senses to know what is proper from what lacks in character and govern our lives by grace out from faith, Hebrews 5:14; Romans 1:17. This standard needs no law because what is produced in the Christian who is focus on living by the Spirit is not against any law, Galatians 5:22-23.
And do not be outwardly conformed to this age, but be transformed by the renewedness of the mind for the purpose that you test for approval what is the desirous will of God, the good and well pleasing and mature – Romans 12:2
As obedient children, we are not to put on a mask to the former lusts in our ignorance; instead, just as He is holy, we are to separate ourselves out unto God in all our conduct, 1 Peter 1:14-15.