Are they compatible? It seems like the naive conception of omniscience in which god "knows everything" doesn't really square with a non-deterministic universe. Both the Copenhagen and the many-worlds interpretations would require "corrections" to the concept of omnipotence.
In the Copenhagen version(s), god only knows the future to within a level of certainty allotted by the particular system. (That level of certainty isn't always h-bar/2. It can be larger.) Also, not only is god limited in his knowledge of the future, Copenhagen interpretations limit his knowledge of the present state of things.
In the many-worlds system(s), god knows every future that will happen separately, but, because they all happen, there's no way for him to say "which" happens, as god would experience them all, rather than just the one that we experience.
A third possibility that works with both is that god's omnipotence simply doesn't include knowledge of the future.
A fourth possibility is that there is no god.
Discuss.
