In recent game engines, Wisdom has come to represent how "present in the moment" someone is. It is how free of emotional distraction and mental wheel-spinning a character is.

Someone who is totally "in the now" will notice fine details, spot things that someone more distracted might not, and see the subtle clues in body language that betray intent. It also enables one to be more in touch with the divine - no mental noise is getting between you and your diety, which is why it powers divine magic.

At lest, that's how I see it.