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The most logical scenario I can think of would be for Batman to secretly plot and bring down Karl Franz in order for himself to become Emperor of Man and install an Empire wide Police State where he controls all media, propaganda and essentially brainwashes the population into being so scared of repercussions of degenerate or malicious acts that Chaos ceases to have a hold on them.
You know for a fact Batman would be able to find and expunge all of the hidden Chaos cults around the Empire and given the fact The Empire have just about hit the Industrial revolution, I have a feeling it wouldn't be too long before Batman has drones and legions of bat bombers circling the sky's on patrol, among other advanced inventions.
Would SIgmar embrace him as a son?
Who knows maybe he would fall to Chaos himself and make the place worse.