Hehe, I'm not trying to convince you. I suppose I shouldn't be posting, then.
Really, I'm not certain you would be convinced even if I did a better job, though. All I'm really looking for is less of a skeptical "explain it to me in terms of science" viewpoint, and more of a "huh, interesting" response. I've never seen someone even try to work with me when discussing these things. It's always shut down so they can claim their Internet points.
Do you really have nothing to offer about how intuition is useful or legitimate as a "way of knowing"? You want to just say the word "intuition" and have us respond, "huh, interesting"? Talk about intellectually engaging.