I wonder if the hidden assumption in your hypothetical situation is that god just happens to match your definition.
Let's make it more interesting - what if you discover that god is really Thor?
What then, hu-man?
When I was a pioneer back in the late 60's/early 70's I asked my pioneer partners what they would do if they encountered proof that what they believed was untrue. Some of them simply could not get their minds around such a concept.