You ignore a big middle ground here. I (and others) suspect Jesus was an extremely charismatic healer, probably using some method of hypnosis. (Read about Dr. Albert Abraham Mason’s famous cure of ichthyosis for an example of how astounding hypnotic cures can be.) In those days (though in keeping with the tradition of this thread I’ll provide no cite for this 
) people were, in general, more easily hypnotized, and psychosomatic illnesses were not uncommon.
The apparent changing of water to wine can also be explained via hypnosis. (Of course, some of the alleged miracles admit of no simple hypnosis-based explanation.)