You are honestly comparing apples to oranges.
Pacific Rim is meant to be a fun, affectionate tribute to mecha anime and Tokusatu films like the Showa Godzilla, Ultraman, Evangelion, Godannar and Tetsujin 28.
Godzilla is a throw-back to the monster movie genre where the monster was kept out of the action until the final act.
Pacific Rim is an action movie. Godzilla is a monster movie.