The establishment clause states that separation, it does not mythologize it. But then that is like all law, subject to interpretation. You clearly have your own interpretation.
who do we answer to? Clearly that is an individual choice as well, in practice. I don’t answer to your god, or do I? Or is it you answering to mine? I am not so arrogant as to say I could answer any of this. I answer to my family. I answer to trying to be kind to others (I don’t always succeed). I don’t answer to some mythical deity. I always welcome the truth. If your god wants me then he will have to convince me he exists.