aposhitayid, any “Rabbi” who says that their Rebbe runs the world is a fake rabbi, I don’t care if he has a large black hat and a frock and learns a lot. A real Rabbi has such fear and awe of Hashem, as much as he looks up to his Rebbe or tzaddikim, he knows good and well that אין עוד מלבדו and that his Rebbe, as great as he is, is only a בשר ודם and if Hashem wants or doesn’t want something there’s nothing a Rebbe can do to change that.
What are these stories supposed to prove? That Hashem כביכול runs to do the bidding of Rebbes even if it is against His will?! That Rebbes are subjugating the will of Hashem so that He does their bidding?! This is not what these stories tell us and it is absolutely apikorses to think like that. It is as Avirah says, that a tzaddik’s will is (usually) in sync with Hashem’s and in cases where it is not Hashem’s will to do what a Rebbe is goizer, it will not be mekiim.
Do you think that your Rebbe runs the world or not?