Human intelligence is only an evolutionary by-product of our social structures. All of the animals that are generally considered to be very smart, are very social creatures as well.

I don't think there is a final and universal definition of 'intelligence' or 'spirituality', but spirituality is often defined as knowing that you're part of something that's far greater and more important than yourself, being able to put yourself and your personal interests in a greater perspective.

It seems to me, that such feelings or experiences do in some way have a social dimension. It's not hard to see how such feelings make it easier to connect to others, to resolve differences, and to contribute to long-term goals that are important to the community.