I will attempt to produce something. I apologize for the length and if there are any readability issues. I have not got anyone to check it for readability.
What I'd like to see here is an argument for purpose (and its motivation) that does not rely on scripture and/or anthropomorphic projection.
According the Philosophy of Information, our reality is information without any substrate, any necessary ether to live in or mechanism of containment. I add to that the thought that information requires no beings or sources and always exists. I posit that we are, similar to numbers and mathematics, ideas without essence in addition to the Philosophy of Information (which is strictly a Physics thought experiment and deals with less spiritual ideas). I put forward that concepts do not require thought but are self existent. We are either ideas or ideas about ideas about ideas, like an ordered set of ideas. We therefore do not require existence
to appear to ourselves to exist. People are confused about this, because we tend to think that ideas come from us. They do not or so I claim. Therefore they are not limited to what we can think, nor do they require us to even be. When you count to 3 do you create the number 3 or is it already there? It is already there. We are like that number 3, already there; but we are not what we seem to be. This way of looking things has implications for the question you are asking. First, it means God isn't anthropomorphic.
Where does 'God' fit in to this? Why do I posit this and combine it with PI? First its because there appears no reason for our existence. Secondly this also all follows from the observation that everything in our universe appears to have order in it, and things without order do not appear here. Both Philosophy of Information and the ideas I put forward follow from that. In our experience everything appears to have a beginning, yet through exhaustive exploration our Physicists have found that time does not appear to exist before the universe's creation moment, nor do we appear to have a reason for existing. Nor does God. Some will say God created us, but then they cannot answer who created God! (Who can?) What we do see is that our world is full of events that all fit together, so they are ordered analogous to numbers. What I am talking about is actually a limited exploration of the nature of God through the nature of existence. It is philosophical and hopefully not sophistry.
This is not Platonism. Ideas are like the numbers without need for any substrate, any ether, any place to be. They exist, and we sometimes become aware of them. Why do they exist? There doesn't appear to be any obvious argument. Analogously we appear for no clear reason. Numbers are, according to inductive theories, limitlessly complex. Any order without end is therefore also infinitely complex including the set of all things that might be. We exist in one of those sets of ordered groups of ideas that all work together.This is not the same as Plato's forms. It is akin to Plato's forms but posits that rather than things having a true form, we and our universe are forms. We are the ideas, not copies of ideas. Therefore Plato's forms are not applicable here except as a reference.
I refer to all lists of all things that potentially would be or could be together in an ordered way. Our existence is (or could be) part of that, limitlessly complex but ordered. So I put to you that the appearance of reality is itself an idea or a nesting of ideas about ideas that exists analogous to the way numbers exist, and the only requirement is order. Therefore we exist as part of some kind of ordered group of ideas. Every action, thought, or motion is actually information, static, not in motion, always existing. Our 'Thoughts' are not thoughts. Our time is not time. We perceive time, but we are not in time.
So what about God, then and how does this indicate a non-anthropomorphic God? Think about fractals. All complex ordered systems are dynamic systems, meaning all of their parts interact creating similar but differential patterns repetitiously. There is also in such systems something called self simularity or fractal patterns. Any electrical signal usually has a wave pattern, and buried in each part of that wave pattern is a smaller copy of the whole thing. Now reverse that. The smaller wave pattern does not occur in isolation but is part of something larger than itself. The smaller pattern has less detail. I just finished describing our existence as part of an ordered system. So, what is the overall nature of that system? I impute that it is a richer and more complex version of what we know now, therefore it cannot be anthropomorphic. We are like copies of the more complex thing, but it is a not a copy of us. (Not that I am suggesting Plato's forms. I am not.) Whether you believe God is the whole universe or a superbeing within it in either case God is not anthropomorphic and share similarities with more than us as well as having details that we cannot replicate. It also disparages any notion of God having a motivation for existing.
***edit: Change "Philosophy of Information" for "Informational Structural Realism" Sorry I got the names confused! Here's a link to the paper I that introduced me to ideas about it. It discusses thing like quantum foam and the potential for reality as we know it to actually be a form of information.
http://arxiv.org/abs/1303.6007