Christ Alive in You

This Jesus that was born 2,000 years ago has come to live in us by faith. Paul put it this way in Colossians 1:27 "To them God chose to make known how great among the Gentiles are the riches of the glory of this mystery, which is Christ in you, the hope of glory." If there's one thing we could communicate to people it would be that Christ is living in you. Is it necessary to believe the Bible is without errors and inconsistencies as long as one believes in Jesus Christ?When is the day of Christ's birth? Do we even know the exact date of his birth?