Well this is the first attempt at a well formed argument that I have seen, and I find it interesting. Nonetheless I will try to give my answers.
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If god exists and is doing whatever work you may suggest he might be doing, then which bits of this work is influencing us? Does he answer prayers? Is he typing this message through my fingers? The easiest way to allow god to exist is to have him how Einstein explained his faith: (roughly) god exists outside of the universe, he is a supernatural force which we cannot perceive with our senses, and he has no influence on the universe as we know it.
Another thing you mention is that it may be logical to come to the conclusion that god created laws of the universe. Imagine that no people existed. Nobody would have come up with strange ideas about some kind of being creating all of this moving mass and emptiness of galaxies, particles, energy and so on - and yet it would all still be here, without the need for a god.
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The way in which god and science can be mutually exclusive is that people who claim to follow gods build their lives around their beliefs, and then provide facts about such gods to others, making the idea grow stronger.
Science, on the other hand, uses multiple research methods and repeats over & over again until a conclusion is reached, whilst even then leaving possibility for further change & adaptation, should a better description, or a new, unknown set of rules become apparent.
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People who believe in fairy tales are not forced to follow rules, yet if they wish to participate in more well known and sociable fairy tales such as organised religion, then, in most cases, they are certainly taught not to question what they believe. Priests in church ceremonies, for example, preach from a book, interpreting what the book says using their own abilities.
In the way you say that they come to a different conclusion, I would like to say that what they have reached is not a conclusion, but simply an early presumption with no further evidence or thought expected.