I would put the pinwheels together in the center and then surround it with the peace symbols all going in the same direction. Or maybe take the pinwheels and peace signs and put a black sashing between them.....very thin 1 1/2 to 2 inch but no bigger. That would separate them some.....maybe even add some solids in there too if you use sashing.
There is no where for the eye to rest when looking at this quilt. Kids do love busy...but you wouldn't ask us if you didn't think something could make it better! I would rather see a solid yellow pinwheel too.