Well, now I have to answer the question no one asked:
"Who would win in a fight? Eddie or Godzilla?"
It would be a stalemate. Godzilla would absolutely demolish Eddie, but could never actually kill him because Eddie is an immortal undead bad-ass. Eddie could never really hurt Godzilla, because it's Godzilla, but he would never give up trying. Eventually, their fighting would anger Cthulhu, who would awaken, rise from the deep, and kill both of them with his thoughts before returning to his eternal slumber.