It is not right to tell adults that they are Christians because they were baptized.
Yes, we are not very relational, are we. We turn everything into a formula. We don't take time to listen to the 9 year old who has had a experience with Christ. But even the Scriptures say that we are only children of God by faith in Christ. Gal_3:26 For ye are all the children of God by faith in Christ Jesus.