Godzilla in this movie itself is fine. I don't care that he can't tank nukes or survive blackholes like later power creep would add to him. They just wanted to go back to basics and treat Godzilla as a big dinosaur-like creature powered by radiation. '98 is still weaker than '54 who could only get killed by a sci-fi weapon, but I'm ok with that for the purposes of modernizing the concept.
The real problem is the human characters are just so fucking awful to watch. It's like thye're all rejects from the independence day script. Just really fucking annoying goofballs.