Marty, I was thinking about the instruction you gave on alignment, and as I already am familiar with the parallax error, I began to wonder if my putting is screwed up for that reason. I got an idea from this piece of equipment which you might find handy for your demonstration
http://www.golfworks.com/product.asp_Q_pn_E_MLAT and on the putting green lined up a putt, and then kicked the ball out of the way and placed a long tee square up to the face. Yep was aiming 2 inches left on a 2m putt.
Seems the hardest thing to do is to train your mind to adjust the alignment, so after some experimentation, with my usual bag of old tricks, came up with something that worked.
1. pick a spot 30cm or less in front of the ball to aim at - I do that anyway
2. address the ball and align clubface - aiming line to my mark, and only looking at the putter head and the mark, not the hole at all.
3. now rotate the head without moving the axis to look at the hole, so the eyes are aligned vertically, and putt while still looking at the hole.
So this way the brain has had no opportunity to link the alignment and the hole together. I have putted like this before but i would look at hoe>ball>hole>ball many times, and that defeats the purpose. As soon as i tried it i holed 6 x 3m putts in a row doing this, and that is bloody sensational.
This will probably only work for me a short time, but should be enough to retrain my brain.