I found this link while investigating whether or not it was safe for me to use the word 'multiverse' as shot hand for the many worlds hypothesis (it is). Some of the same themes are at work, and in particular in the last 10 pages or so Dembski draws the same point about God resolving all of the paradoxes that the various multiverse conceptions aim to resolve. Since I am failing to communicate, perhaps he will do better. You can skim it, but I wouldn't recommend it. I think it is a worthy read all on its own. Here it is:
http://www.iscid.org/papers/Dembski_ChanceGaps_012002.pdf
I read the whole thing. He doesn't provide any resolution to QM to compete with MW - he doesn't even seem to like the idea:
Moreover, such a deity could collapse the state function of the universe and thereby resolve the measurement problem of quantum mechanics when this problem is applied to the universe taken as a whole...(I personally think there is something to the theistic fine tuning arguments, but I am no fan of middle knowledge and have doubts about God's role as a state-function collapser).
Though googling 'observer paradox' lead me to quantum indeterminacy, and bell test experiments, and a brand new headache. :)
ISTM that the Bell Test experiment results would tend to conflict with God as a state-function collapser.