Elizabeth, I am a believer. I thought about the same question. My conclusion is that the whole "atheism vs. religion" strife is futile. It comes from a confusion between fundamental beliefs and knowledge. There are things we know and there are things we "believe" are true. If you take a knowledge and ask yourself "why is it this way?" and keep asking it about every answer you come up with, you will discover the fundamental belief on which this knowledge is based. You cannot prove a fundamental belief without circular reasoning. And all arguments between atheists and theists is nothing but circular reasoning. "God exists because he exists" or "God does not exist because there is no evidence, and there is no evidence, because He does not exist." - it's all the same flawed circular logic. If you think about it, the second statement involves 2 steps and it is more difficult to follow the circle. So, I go with the first.
But the process of finding your fundamental belief is internal. It ends with discovery of "who I am", your true identity, what you really believe and why. That's the process you have just described. And if you reflect upon the name of the Lord given in Exodus "I AM WHO I AM", that's exactly what it means. You find God when you find who you truly are and why, figuratively speaking. This is why people identify themselves with God and their own understanding of good and evil with God's understanding of good and evil. Don can show you a study showing that this is true.
With that said, don't argue with believers. They will mock and hate you, because you do not love their "WHO I AM". That's the Lord's attitude, by the way. He "hates" those who do not love his identity and kills them. God is inside each of us. Jesus was meant to show it to those who can see the allegory saying "Love others for who they are and as they are". One cannot find the Lord outside oneself.
I occasionally argue with atheists in forums to explain my fundamental beliefs and to understand theirs. Most messages I hear back are hate messages and I find that most do not understand their fundamental belief, just as believers.