Honestly, I didn't like either of them - sorry.
I really don't like the style of animation used in Star Trek one, I know its all the rage but I just think it looks like a child tried to do a drawing for mum and dad (sorry).
world peace, I wouldn't class that as true animation, its just a load of still images (yes I know what stop frame type is) with music put over the top, like 1000's of other youtuve amv's (animated music videos - again same view, its not animation in my opinion).
Now maybe my views are down to the fact that I watch alot of anime and I think that the Japanese studios have some of the most talented and skilled animators out there, American studio's never quite match up when they try to do a similar style. I also do 3D animation (albeit product orientated) so I have a huge respect for cg animation such as final fantasy (spirits within/advent children etc) as I know the amount of time and effort required to get anything half way decent.