Do you think there is a Godzilla vs Male Muto deleted scene?

Please don't tease us.

Sorry ALX, but I couldn't think of a better title to draw attention to my topic, so my question could be answered.

With the amount of money it takes to render out the CG for the scenes with the monsters, I highly doubt they'd cut one. It's possible though, but very unlikely. Any deleted scenes are probably going to be human stuff. 

^Agreed. If there's any deleted scenes that include monster footage, it's probably just a quick shot or two. A few seconds of footage maybe.

Due to the amount of money the effects scenes cost I highly doubt an entire battle was left on the cutting room floor.

i think the only monster scence is the one at the end of the asia trailer

In the official movie novel the entire Hawaii Scene is explained out in full detail. Godzilla attacks the MUTO with his atomic breath just before the MUTO takes flight and starts flying to California. If they took the time to explain this whole scene in detail in the book I think there is a fair chance it may be a deleted scene for the movie. 

^The book was written after the movie and it's script. It's likely this was just the author's variation of the scene.

https://www.youtube.com/watch?v=FwiYNYlqJL0

I couldn't resist. Seriously, though, as others have said, it is very unlikely that they would have cut a whole CGI fight scene from the movie. The only hope I see for us getting to see a full-fledged airport fight is if the news footage we see of it is actually made up of parts of the original scene, but, once again, it's very unlikely.

But, wasn't there a scene in the Asia trailer that didn't make it into the final cut?:

^ I remember seeing that. It could be deleted.

Daniel,
That's just a single shot. Looks like it was cut from the final battle. It's not very long.

To be fair there were quite a few shots from the trailers that were changed or never showed up in the movie.

That shot from the asia trailer was in the movie, it was just from a different angle.

Yeah, the scene with Hokmuto flying in towards Godzilla like that is in the movie, but the camera is repositioned. It occurs right at the beginning of Hokmuto's and Godzilla's final fight (after the atomic breath was unleashed and Femuto was going after the boat).