Halevi, chelek eloka mimaal is discussed a lot in seforim. That statement does not say “the world will see that it’s the rebbe who runs the world”. You don’t need to be introduced with preconceived notions to see why that’s out of bounds. It’s not jumping to conclusions or taking it out of context. There’s no context for that belief.
Similarly, at the council of shluchim, one of the organizers began with a vehi noam, that “the rebbe should look down and we should find favor before him”
They pray to him. Many, many do; even non-meshichisten. Nobody ever prayed to the arizal, maggid, baal hatanya, ledushas levi, or anyone else. It’s avodah zara. Period.