Christ is not an add-on to an existing identity; he seeks to remake your identity. Often conversion language is a gross exaggeration and implies that nothing of the old identity remains. Obviously much remains the same; you are still physically the same person with the same history and propensities in the same culture. What is changed is the old life of sin, the old being, and its old orientation. Even the things that do not change are seen from a new perspective. Christ is not an accessory to your identity, as if you were choosing an option for a car; he takes over identity so that everything else becomes an accessory, which is precisely what “Jesus is Lord” means.
We have been sold a cheap gospel without demand and without content, as if faith were a short transaction, a prayer, or a decision, to get security taken care of so we can go to heaven, but the New Testament is far less concerned with going to heaven than people think. In fact, as important as God’s promises about the future are, the concern for going to heaven is one of the most distorting factors in evangelical Christianity. What counts is life with God and an identity shaped by God, both now and eternally.