We ought to draw near to the Lord because that is what He wants and made possible for us. It is what we were created for and it is how we experience Eternal Life and Abundant Life.
A Good Conscience will always draw us to the Lord. David demonstrated a Good Conscience in Psm 51:4 .
An Evil Conscience will always drive us away from the Lord. Adam and Eve demonstrated an Evil Conscience after their sin. They hid from the Lord. Gen 3:10