Supposedly, meditation brings about an order in your mind and your life that isn't produced by logical thought and decision making alone. I like how you say "whenever I manage to pause" or "get around" thinking.

That's what I'm still confused about. Despite my best efforts, the only way I can really tap into this experience is by temporarily suppressing logical thinking. As if there's some great wall between the two, of which I can be on either one side or the other. But what I really want to do is bring down that wall, or at the very least punch some holes in it.
And indeed, Albert Hofmann's work has shown me that it is possible for these two ways of experiencing reality to function simultaneously, complementing and communicating with one another.

By the way, I can't help but notice your use of the term "supposedly". Do you have doubts about this?