Not exactly. The movies are not a part of the manga - aside from Road to ninja, all the others aren't even written by Kishimoto-sensei. So of course there's going to be a dangerous mission that he has to accomplish, people he has to save (sometimes indeed the world) but because it's a movie it has to be wrapped in the movie while the anime can spread out the mission over a whole arc or so.
Though I believe that the movies can be fit in in the timeline of the manga.
Either way, the movies are a nice extra but they don't follow the manga, whereas the anime serie follows the manga mostly (aside from the fillers and filler arcs of course)