Is it possible to re-center a movie clip?

I have a movie clip that contains multiple layers, and hundreds of keyframes.

It works great, but it seems to be off-center. Is there any easy way to re-center the content, without having to move every single object, on every single keyframe, within the movie clip?

Besides bugging me, are there any issues that can come from having the movie clip off-center? It seems to still work perfectly fine. It's just a little annoying seeing that cross off to the side.