And I disagree with you, because of the signature you are using, and because it is not true that to know that there is no god requires omniscience. I am not omniscient, but I know there is no God and I know there is no God because God is unknowable. The postulate that there is a God has been thoroughly investigated over the centuries, and (as your signature implies) every phenomenon that could be attributed to a God - any God: Thor, Athena, Ba'al, Shiva, Jehovah, Caligula, Jesus, and so on - can more readily be attributed to other causes, including being products of human imagination and fantasy, because they do not stand the test of falsifiability.
But let's suppose you're right, that your post and signature are correct.
First, to restate your signature, it is "probably impossible" to unambiguously ascribe any natural phenomenon as being caused by a God: this includes answering prayer, being the creator of the universe, or the "divine spark" behind all life. In other words, it is not necessary to postulate an omniscient being, a quality you yourself claim is only for Gods, to explain anything that actually does exist, or anything that happens, for that matter.
If such a universe were created by an omnipotent, omniscient God, where does God appear? You say: "probably nowhere" (probably). But at least, by your ouw admission, God is an improbable hypothesis, and useless for making predictions about outcomes, or else there would be evidence one way or the other, and it would no longer be "probably impossible" to know. At this point, I can state unequivocally that God is not a falsifiable hypothesis, and therefore not part of any reality that we participate in: and that is our test for existence. Therefore God does not exist.
So, you see, no omniscience is required. I don't know your eye color, and didn't need to.