Shin Godzilla did the same thing as this movie, no kanji, so it can have any of the meanings.
Toho Opens Official Website for 2016 "Shin Godzilla" Film
Toho today opens the official website for the upcoming new Godzilla film scheduled for Summer of 2016, announcing its official title Shin Godzilla and three main cast. It will be the first Japanese Gowww.crunchyroll.com
I vote for "god". Godgodzilla.