I think it sounds much more like late period Beach Boys. They use 3 part harmonies, they even sound vocally like the Beach Boys, and the sort of try-anything sonic experimentation is directly related to what Brian Wilson was trying on "Smile" and "Pet Sounds."
I suppose if you're going to bite someone's styles, why not Brian Wilson? Animal Collective's new record, all hyping aside, is a beautiful piece of work.
It doesn't hurt that the other big influence is Can, but they resist doing the same thing for 10 minutes, which is all to the good.
Stare intently at this cover art until crosseyed.