re: Have you ever done a religious fast?

Sort of, yes.

It's kinda weird, because He separated Himself from God in the first place via kenosis (self-emptying), in order to make Himself more human and to experience that facet of existence.

But having done that, part of the human experience of getting closer to God is via self-denial of the lower desires.

There is a time and a place for everything of course. Jesus drank at weddings, cried at people dying, ate at feasts, hung out with a crazy ascetic in John the Baptist, etc. You gotta get the whole range of the human experience in there.