Guys, thanks for having patience. This is the one CTE thread where it actually seems like good discussion is going on. There's been a few rough spots but there really is some good discussion.
I'll try to address what I can if the question is still on the table but it might be tomorrow, it's Valentine's Day and my wife has already been ignored for 30 games of 9 Ball tonight.
Dan, you've been playing pool for years and already have a ton of shots in your pool database. You already know how to make the shots so things feel and look very weird trying a different method. It did for me too. CTE is very different from the methods most people learn on, but it actually is workable. Renegade has a good post above, does a pretty good job there but it will still be confusing at first.
Try this: Set up a 15, 30, 45, whatever it doesn't matter. Look at the contact point/ghost ball or however you come down on a shot with your current aim. Do it just like your current aiming method. While down (not recommended but this is just an experiment at this point), take the nearest ABC CTE aim.
Think about the two references on the CB, the edge and the center, hell, even check both edges if you have to decide which perception makes sense. Since you already know how to make the shot, try as well as you can to get to the CTE shot. Don't even worry about the angle to the pocket (you already are in stance from your current aiming method, as you get more proficient at CTE you will trust the ABC more so you won't necessarily need your current method, but think of it like a secondary check). How you get down on the shot is part of CTE but don't worry about that now, too much info for your body to parse at first. More or less, between the two reference lines is the No Imagination Shot Line. Now here's the catch. Aim on this line with all your might. Shoot the shot.
It might not go in, because once you have this perception, you might have to adjust as on any system. CTE uses the tick/round barn idea. Focus your eyes on the edge of the OB and move them back to the aim. It will start to look right. If you get it looking right, it will go in. It's not really any different than does it look right with your current method, just a different approach. Remember, the dual references so it can help you tune it in.
If it still doesn't work with the tick/eye shift thing, just get down on the CTE shot and adjust as you would normally. Pay attention to how it looks when you play the "thinner or thicker" or however you do it now. You want it to look like this on a CTE aiming method, but it might take some experimentation to get there. The book actually does a good job at explaining but it does take some picking at to figure what you need to be doing.
Since you already know how to aim and have played for years, the Basic CTE seems a bit wonky but it's not. Think of it as a new player who has just discovered Ghost Ball. Some shots go, others you wonder what the hell happened. This is where the practice comes in. It does go pretty quick because I really do feel that CTE gives you a little better focus with the dual references. I think that the point of Basic CTE is for beginners or people who don't already know how to aim. It's important to understand so you understand the rest, but if it just makes no sense, try Disguised Pivot or Pro One. Something will click if you want to experiment and see what it's all about. I quickly gave up on the pivoting thing because I didn't need to do so. I guess you can say I came into it with DP after doing the shot diagrams in the book about 10X each. I personally didn't like the pivoting and felt it was a hindrance to me personally. CTE does let you kind of "customize" to your liking. Some guys might have no luck with one of the flavors but the others work.
All this said, I don't think it's necessary to use CTE, but it is a viable option. Is it worth rebuilding your game? Maybe not, but it's personal, some people it makes sense to do so, others not so much. If anything it is an interesting experiment and there are definitely "nuggets" in there even if you decide it isn't for you. The method does seem odd, especially with all the acronyms, but it's basically describing a new method of aiming where the currently used pool words don't really fit the bill. It's fun to joke about all the acronyms but I get it, once you associate what you're doing with them, it's less baggage and you don't have to explain the difference of similar words used for other aiming methods.
Personally with CTE, I used it for a while, but I quickly realized my main problem was fundamentals and focus. I kind of put it on the back burner while I whittled away at those two glaring problems in my game. No use trying to better my aim while my fundamentals were dog crap. I do plan to go back and experiment some more with it in the future. I'm close to this point but now I know I have to also work on my natural shape... so sometime soonish, but not immediately.
It's refreshing to see the discussion going on in the thread.
EDIT: Also try to not think about a straight in shot being CTE, the only reference to this is both edges and the centers line up. 15, 30, or 45 should be the baseline for experimentation, angled shots, not straights. Straight shots are just center to center, though you can use two references. To me, straight in is straight in, no matter what system you choose.