Where does it say that the woman was on earth?
As far as I know, ereemon means an empty, desolate, uninhabited land. Thats not referring to earth. One can never mean "earth". Also, even if you wish this desert to be earth, yet, this is after the birth of her child. The birth takes place in heaven. If this child is Jesus, the war in heaven occurs. How could Michael in this war with all his angels fighting with this dragon with all his angels be the same child? It says "Kai", which means it is concurrent or immediate events.
With all of this, how could this Michael and Jesus be the same person?