Stagmitis,
"How can one accomplish the task of visualization if they train the brain to allow the subconcious eliminate the arrow in their periferal vision?"
I think there's a subtle difference between the question you're asking and what Kidwell said:
"However, telling your brain that the flight of the arrow IS IMPORTANT will cause the subconscious to pay more attention and improvement will accelerate."
I don't think Kidwell would disagree with an instinctive archer training himself to eliminate seeing the tip of the arrow in his CONSCIOUS vision, prior to releasing the arrow. Kidwell also says that you should observe the flight of the arrow to the target. In saying that, I don't think he would disagree with those who say that trying too hard to do that on a conscious level can cause other parts of the shot to suffer. So what he offers as an alternative is to instruct the subconscious that the flight of the arrow is important. Sort of like having your cake and eating it too: you avoid the distractions caused by focusing overly much on the flight of the arrow consciously, while still getting some learning benefit from doing that on a subconscious level.
How does that happen? The subconscious is a funny thing; no doubt Kidwell understands it; I sure don't. It almost seems like a different brain that has thoughts of its own that sometimes helps me and other times hurts me. A brain that we have to 'splain things to in a language it understands, rather than in a way that would make more sense to our conscious minds.
Our eyes see everything in our field of vision. Our conscious brain filters out things that aren't important to whatever it is that we're trying to do, which is why we can consciously decide to ignore, or more than ignore, actually not see, the tip of the arrow. I think what Kidwell is saying is that even though we may filter it out on a conscious level, our subsconcious can be told that the flight of the arrow is important and still "sees" it on that level.
Certainly the benefits of filtering out the arrow tip prior to release can't be ignored. Great instinctive archers like Rick Welch practice that, teach it, hunt that way, and win world championships using it. Frankly, before taking Rick's class, I enjoyed instinctive archery, but I never thought I would be capable of shooting consistently accurately with it. In the course of a day and a half, he taught me that I could.