Seriously? FOUR pages?
Ok, I'll give it my best (genuine) shot, but I'm sure it won't be good enough.
All you need to do is apply some common sense to the problem.
Your first port of call is to read what your manual says. Page 67 tells you specifically how to clean your display.
Most people would then just go "Ok" and get on with it, but clearly Apple's directions aren't good enough for you and so you go and overthink it. On that note Big TDI Guy gave some excellent and detailed input, but even that wasn't good enough for you. Have you considered the amount of time it took him to reply to you? Anyway, his second and third posts were the answer you needed, but still that wasn't good enough.
So anyway, back to the common sense. Where else would you find a need to clean glass carefully? Where else, besides computing, would you find people who require glass to be spotless? I'll give you two suggestions:
Photographers, and anyone who wears spectacles.
Photographers can buy lenses that can cost more than your whole iMac. Decent filters aren't cheap either. So a quick trip to your local independent camera store will set you up with some lens cleaner that's good enough for someone who actually needs to worry about his glass.
Alternatively, anyone who wears spectacles needs to be able to keep them clean, and although most people just wipe them on their shirt, any optician will be able to sell you something (lens cleaner) that works perfectly with even the most expensive coated optics. By the way, these lens cleaning solutions are nothing magical - I'm only suggesting them because they're designed for cleaning glass, and come in a handy little dispenser.
The problem is that Big TDI Guy has already told you this. He provided you with a link talking about professional cleaning methods. And yet you're still not happy! His example of why you don't want to use a dry cloth is spot on - if there's something on your screen, then you'll want to dissolve it rather than just rub it over the glass.
Anyway, as someone who has worn glasses for about thirty years, and has kept various photographic lenses clean for twenty, and has been cleaning MacBook displays for three years and LCD TV displays for five with not a single scratch on anything...
Lens cleaner.
Cloth (microfibre or not, doesn't really matter, but I have a fondness for SpecSavers microfibres and keep plenty around).
Spray cleaner onto cloth.
Clean.
Carry on with life.
I know that won't be good enough, and you'll find some discrepancy or inconsistency to pick at, but at least, if you do, I can mock you with a clear conscience.
