I haven't tried this, but I think you should be able to crop each of the 6 video clip to a 1:1 aspect ratio. Make each one a 3d layer and then move them all so they are in a cube (might be a bit fiddly, but should be do-able). parent 5 of the layers to the first one and then animate it's movements in 3d space.

I don't see why this shouldn't work

Can anyone else?