Guys let's not fight, they are BOTH shitty movies in their own way.
Journey to the Center of the Earth suffers a lot from "3D"itis where a lot of shots are stupid at-the-camera shit put there because the movie is 3D (like that early scene with the ruler or measuring tape or some shit). Also it was shit.
Night at the Museum has Steve Coogan, Dick Van Dyke, other notable cameos. However it also had an animated t-rex skeleton that chased bones, which is what it was made of, and Robin Williams. It was also a kids movie.
Pretty even in the shit stakes, all things are considered.