Well like Superman, Godzilla has been around for quite a long time and has been handled by different creators. Sometimes a hero, sometimes a wacky monster, sometimes a omnious villan, sometimes he is just himself.
I think Godzilla is best when he is handled like a force of nature. Not really good or evil, he simply IS and you gotta deal with it. So wether he's a villan or a hero really kinda depends on the needs of the story. His existance is a reminder of "the folly of man" (as Blue Oyster Cult put it) yet he does exist and the Earth is home as well so any threat against it is also a threat against him. As I seem to remember a line from one of the more recent put it and I liked it, when a kid asked why Godzilla attacks an old man simply says "..because man burned the Earth. (refering to nuclear experiments) Godzilla remembers, and he will never forget."
You're talking about the cute psychic girl that started raising Junior? Yeah, that'd be neat. I'd be really partial to the Millenium GMK Goji myself. The whole "ghosts of Hiroshima" Goji thing would be a very grand scene scape for our MOS, and the type of moral dillema (won't kill him, he's really the unrested spirits of WW2, but need to save Japan) thing that Supes really shines in.
Yep that's her. She is cute indeed. I couldn't really get behind the whole ghosts of Hiroshima thing in GMK. It kinda seemed like overkill to me, I don't know.