Interestingly, I've long thought that quantum principles could actually allow room for God, which is the exact opposite of the conclusion that the OP draws.
Recall the dilemma people describe when they try to reconcile the notion of an omniscient God with the concept of free will - if God knows what the outcome of our actions will be, how can we truly have free will? However, what if God simply knows every outcome of every quantum event of every particle and, therefore, of every conglomeration of particles (i.e., the choices of humans and other volitional agents). He knows all the possible outcomes of every decision we'll make, yet that does not change the fact that at the moment of choice we do have true freedom, and thus our personal "reality" (whatever it is) proceeds from that basis thenceforth.
In particular, if the multiple universe theory is true, with each quantum event creating a branched universe/alternate reality, then "God" could have intimate knowledge of all such possibilities, and you (i.e., the "you" in your own universal frame of reference) would in fact be held responsible for your own actions (good or bad) while the alternate universe "you" would be held responsible for the actions THEY took. Perhaps God's "judgment," as religious people conceive of it, is a weighing of the morality and righteousness of all of our actions from all such universes. If, on sum, all "instances" of ourselves tended to make good ethical choices, then we're judged worthy.
I don't actually believe any of this, mind you, but it's interesting to think about sometimes.
N.B. - the above assumes that strict determinism is true, wherein all macro actions (even those of willful agents) can be viewed through a reductionist lens and must follow necessarily from antecedent causes, down to the particle level. I neither concede nor believe that strict determinism is true on the macro scale, however; I'm more of an emergentist, philosophically. These are simply random musings.