God can have an identity. The same way the invisible pink unicorn or the flying spaghetti monster can. It is just invalid and contradictory or metaphorical. Faith is the absence of reason as god is the absence of noncontradictory concrete identity (which a thing needs to exist). What god that you know of possibly or can imagine has a valid identity that is not made up of contradiction or metaphor, that is not also simply just something else logical that we already have a name for, like 'alien'? To exist, a thing must have an identity in reality. If it does not interface with reality, then it does not exist, in reality. And there is nothing outside of reality. There is nothing outside of everything that exists. To exist, a thing must be some things and not others, lest it would have no meaning or substance to be validly called existent. It is impossible for a leaf to melt and freeze at the same time. Or a plant to grow backwards. Or to be all red or all green at the same time. These cannot happen because they violate the law of identity. If contradictions were able to manifest, our system of how we turn subjective perceptions into objective concepts and how we verify learned concepts by integrating them into a knowledge-base could not work.