Sciforums moves awfully fast. This whole thread has appeared and grown to several pages since I was here yesterday. For the record, I'm going to post my reactions to Jan's idea, even if most of my points have already been made by others before me.
1. To believe God does not exist, or, that there is not enough evidence for his existence, still forms a relationship, at least in the mind, because God has to be percieved to not to exist.
Well, the word 'god' obviously exists in the English language. That word is associated with a whole variety of often-inconsistent traditional stories, meanings and supposed attributes, typically drawn from one of the major theistic religious traditions. (Here in the US that's usually Christianity.)
When I say that I don't believe that God exists, I'm not typically using the word 'God' in any precise sense to refer to the named deity(ies) of any single tradition. I'm kind of rhetorically waving my arm at all of that kind of stuff.
So that's a problem for your theory right there, since the word 'God' doesn't seem to have a clear and consistent reference to any single object, whether existent or imaginary. In other words, it isn't entirely clear what we are talking about (and in your theory, forming a relationship with) when we use the word 'God'.
2. That perception differs ONLY, from the perception of God does exist, in
the negative sense, as opposed to a positive one.
I'm going to disagree pretty strongly with that one. Having a concept of the meaning of some word, even if the concept is clear and precise, isn't the same thing as perceiving the referrant of the word. Even in Christian theology, thinking of the word 'God' isn't the same thing as having a revelatory vision of God.
3. The only way God can NOT exist is to illiminate all notions of God, Supreme Being, Leader, boss, from the mind.
By doing so one relinquishes the relationship.
That might be true, if God is only taken to be a human concept. The fictional character Sherlock Holmes is a real concept too, one that might be more precise and detailed than the concept of God in fact. Invisible pink unicorns is a concept that I just thought of and therefore presumably exists (as a concept).
But theists are typically making much stronger ontological claims than that about their God. Atheists aren't denying that the concept of 'God' exists. They use the word 'God' themselves and presumably they assume that it possesses some meaning, however vague. What atheists are denying, and theists are affirming, is that the word 'God' actually refers to something above and beyond the concept.