I could see them throwing in maybe one unconventional ability or attack for Godzilla as a sort of tribute, but it would definitely be portrayed in a convincing and not overly-cheesey way. For example, I could see Godzilla maybe tackling King Ghidorah at one point or possibly even briefly use his tail as a balance when he delivers a powerful kick to one of his enemies.
"When man falls into conflict with nature, monsters are born." - Professor Hayashida, The Return of Godzilla