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Geez nothing is simple. So these polishes are like solvants and actually melt the rough surface smooth? Does that mothers polish do that?
I think your confusion might be stemming from the fact that this is a work in progress and you are looking for a solution right now. There isn't a fail-safe, sure-fire one as yet.
Different people on this thread are trying different approaches. Some are just trying to defeat anti-glare, some are going for total stripping of the LCD glass substrate and replacement with new polarizers, still others are trying to recycle their stripped polarizers and use them. Some are interested in reverse engineering the laminate structure of the film layers sandwiching the glass LCD substrate in hopes of further improvements. This should be viewed as an exploratory thread because it ain't ready for prime-time yet; too much is still unknown.
Here is what we are absolutely sure of:
Anti-glare is terrible for projection purposes. The diffusion added by this film kills brightness, contrast, and color saturation on axis. There are a number of ways to defeat this:
1) Encapsulate the antiglare layer so that it is smooth. Elken found that cellophane packing tape can be used to good effect, BUT, it is difficult to apply blemish free. Other options like window films are experimental possibilities.
OR
2) Mechanically strip (actually flatten) the anti-glare using polish. Polishes don't coat, they micro-abrade the surface to get a flatter surface. This is the safest alternative and the closest thing to a "do it now!" solution. Mother's car polish worked for Simul8r almost as well as tape encapsulation. My bets are on Macguire's car polish.
OR
3) Chemically strip the anti-glare off the polarizer. Simul8r has had good results with paint stripper. I would err on the side of caution with this unless you are comfortable buying a new panel. Long-term, it may work, it may fail. Most probably, there is another solvent that will work with less trouble.
OR
4) Strip the glass substrate clean, and replace the polarizers with new ones. Most who are going this route are trying to retrieve their polarizers from the stripped laminate sandwich to use for the interim period. Many of them are experimenting with different solvents to see if they can decipher the laminate structure and find a way to separate the elements without destroying the polarizer. This is the Cadillac solution and *MIGHT* prove to be overkill; no one has tested it yet.
So if you ave a junk panel to spare, join the experimentation. If you don't and want something to improve the projection right now - go out and by some Mother's polish - buff away, and be happy. The difference is NOT minimal according to Simul8r's screenshots. Or, just sit tight, watch a few movies, and wait for a final solution.
PS: For those new to the thread, experiments are being theoretically guided with the help of Mark's mega-brain

. If you want a great encapsulation of this thread, go to the beginning and read all his posts.