��And when a Tzaddik speaks, there is no doubt, he does not say something that is not true, G-d forbid�
-Rebbe, igros Kodesh #621
This, in a nutshell, is the problem with Chabad.
You decided that a basar vodom is infallible, and when it became clear that he made a mistake, your world turned upside down. So you suspended all reason and rational thinking to twist matters to fit your indefensible world view.