the Multiverse is defined to be an unbound infinity of all possible worlds
You may choose to define it that way, but it is by no means the only possible definition. The set of all
possible worlds need not be infinite, and even if it were then the existence of God would still have to be shown to be possible for what you propose to be true. Also, a God who requires an infinite multiverse to allow his existence seems less than omnipotent.
hence there is the explanation of randomness and probability distributions, which ultimately lead to absurdities[infinities],
Since you are using infinities as the key stone of your argument for God existing it is perhaps rash of you to dismiss them as absurd. Why should a study of probabilistic phenomena neccessarily run in to problems with infinities, probabilities need only range between 0 and 1, are you trying to apply some form of Xeno's paradox here?
TTFN,
WK