My impression was always that the Navy was sailing in formation with Godzilla, not the other way around. Perhaps more specifically, they were following him since he happened to be going in the same direction as them anyway. That said though, I do agree over-all. I'm not quite as "movie critic" as Bob, so my review would be a lot more lenient, but I will note that basically in any scene where he joined-up with the military, there were several cases where I completely forgot which guy was the main hero because all of the army dudes looked and sounded so generically similar. I even forgot his name once or twice, and probably would have forgotten it completely if it wasn't for a couple of scenes that seemed to intent on drilling his name into my skull that it's like they realized that he's so generic and characterless that people might have forgotten.
Also, am I the only one who noticed how the movie pulled a psych on everyone watching it? The entire first portion of the movie takes place in Japan, to the point where a character in the States gets called over TO Japan, so you think "Holy crap, is this a major Hollywood movie that takes place on Earth and actually isn't centered around the US?" And then the movie yells, "PSYCH! Had ya going there, right? No, we're totally contriving a reason to move this thing to American shores." Don't get me wrong, it's not like it was a total surprise. They wouldn't have cast a family for him if they weren't going to be somehow relevant to the plot later on, but like Bob said, they were so bland and uninteresting that I honestly kinda forgot about them while Blandface and Malcom's dad were exploring the quarantine zone in Japan.