Craig, there can be an intellectual recognition, but this is just insight and not really awakening. Likewise an emotional experience that is separate from the mind is also not it. (people can have some deeply moving experiences and believe in the craziest things can't they)
The emphasis on the self, on personal identity is because the thing that dies is what is 'reborn', or freed. So if you have an idea that dies, or even the intellect - one can be reborn intellectually, but this is not the whole person. The mind may be free, but the rest of them is not. Of course, some people are just naturally more of an intellectual anyway, so in that case that may not change. However the point is if the personal identification drops away, then the renewal can begin from the center there and spread out. When someone focuses on acquiring knowledge or emotional experiences, that may just add to more beliefs and emotional idenfication that has to be seen through.
I hope it's clear that 'mystical' can be very ordinary. It can be as simple as being glad to be alive, but even that thought is too much. Often people seem to touch into that and have the experience, but then it doesn't go very deep because they end up reducing it to a thought or maybe song lyrics. In this case it would be a matter of knowing what it is to be alive, and even a sense of gladness and gratitude is superficial in comparison.
When we are touched by something that's true, that is real, we wake up to what is real in ourselves. When this happens, the person - if it comes through that way - may seem to be "balanced" in emotion and intellect, which basically translates to love and wisdom, but really it's more that it is one coherent whole. But if you pause and notice you'll see it isn't even that, it's not how together they are - there's something deeper going on, the only thing that is going on.