Okay, to clarify a few things for you Jack.
1. When I said the moon would rotate, I meant a clockwise/anticlockwise rotation, something akin to a record player turning. The type of rotation you are referring to in that article is axial rotation. The point I was making is that if the sky was rotating above a stationary plane then we would see the moon rotate in the manner I mentioned. If you wanted to see the moon rotate, then you need to move to higher or lower latitudes which cause the moon to rotate. This is because we are on a spherical Earth and a change in latitude changes your angle of view.
2. The example of putting a picture on the ceiling doesn't work though. Because the moon we see is always round, no matter what time of night it is and where you are on the Earth (provided it is night). Now for you to see the same face all the time it would need to be flat. Any curvature or convex nature of the moon, as you mention, would mean that part of the face that is visible in one part of the world, will not be visible in another part of the world. Get a bowl, draw black marks on it, and tape it to the ceiling round side down. Depending on where you in the room, you'll see different marks. Yet people in Scotland see the exact same face as people in South Africa. Now if the moon was flat, then it would only be round if it was directly above you. However, we see it as round the entire night. What is it going to be? Flat or round. Either way you can't explain why you see the same face on the moon all over the world. However on a globe it makes sense. Not only is the moon extremely far away, but the moon is also tidally locked, which means that the Moon doesn't rotate on its axis the way a planet does.
3. I am sorry, your argument that we should see different sides because it is a ball doesn't work on the globe model. That's because the Moon is so far away from the Earth. It would be like sticking a basketball 100 metres away from you on a long straight road. Stand on one sidewalk and look at it through binoculars. Then look at it from the other side. You're still going to be seeing the exact same face. And that is because relative to the width of the road, the ball is a long way away from you. At least see this as proof that the moon has to be 100's of thousands of miles away from the Earth. But, the general flat Earth consensus is that the moon is much closer to us.
4. You can't say, things may be affecting the view of the moon. The image of the moon is consistent. Or is it just a happy coincidence that no matter where you look at the moon, it is the same shape, the same face, and just changes rotation based upon your latitude. - Don't come back at me with crescent moons etc, that remains consistent across the globe so doesn't mean anything. Also if you want to go into it, it is just further proof of a spherical Earth so I wouldn't recommend it.
5. Yeah. Go to the southern hemisphere, further that one degree south, and try and find Polaris. You can't.
6. There can't be two rotating star spirals above us. A star constellation that has declination of +45 degrees can be visible in Paris at the same time it is visible in Cape Town. They will be in different places in the sky, but both can be visible. Now, in Paris, that constellation will be moving anti-clockwise. That exact same star constellation in cape town can be seen rotating clockwise. How is that possible on a flat plane. The stars can't be moving in two different directions. It is IMPOSSIBLE, unless Paris is "upside down" compared to Cape town.