The bible contains good things and bad things. The fact that you do not follow many of the commands in the bible, the fact that you can cherry-pick means that there is something outside of the bible to guide you. That's your moral, a result of your upbringing, social influence and possibly your reading of works from great minds.
Are atheists morally inferior to believers? Certainly not. In fact, many atheists can think though this question of moral and come to a concrete conclusion on how we should behave. Statistically, the USA prison system is under-represented by atheists indicates that atheists are in generally more law-abiding.
Good man does good thing and evil man does evil thing. For a good man to do evil thing, it takes religion.