Thanks for your input. After doing a bit more research, I'm starting to think the book spine shadow issue is simply a compromise (flaw?) in the iPad Air's design. Everyone was crying for a full size iPad that was proportionally as light and portable as the Mini. To make that happen with the Air, Apple switched to a more advanced IGZO screen that allowed them to achieve the same screen brightness with only one row of LED back lights instead of two. This is great for weight and power reduction but it also means it is much harder to get even backlighting. The old iPads had light sources on both the left and right of the screen. The Air only has a light source on the right side (I'm guessing since that seems to be the brightest side on almost everyone's screens). That means the light on the Air has to be diffused across the whole screen from right to left. Given that setup, I'm not surprised there is a little unevenness and that would also explain the shadow on the left side of the screen. It's probably more pronounced on some units than others. But, at the end of the day, it think it's likely a design compromise that had to be made to give us the light iPad we all wanted.
With all that said, I don't really know what to do about my unit. The unevenness is there but not terribly pronounced. And I don't have any expectation at this point of getting a screen that is a whole lot better. On the other hand, the dust particle is a bit more annoying, though I could probably live with it since it is at the bottom of the screen. I just don't want to hop on the return merry go round when it seems like there is a decent chance I could end up with a worse screen.
If I go to the Apple store, will they let me look at the screen on the replacement unit before I agree to swap mine out?
This my feeling about the uneven lighting as well. Less lights and it being mainly lit on the right. Every iPad I have seen has the right side being brighter. You will also note xendula's post on the previous page where she was told directly by Apple when she exchanged her last Air not to expect even lighting on the Air due to the way it's made. That the light was never going to as even as on her iPad 3.
As far as Apple letting you look at the iPad Air in the store. If you are exchanging it, sure you can tell them you'd like to open it in the store. However, it's difficult to see all issues due to the lighting in the Apple store being so bright. You may notice things like the book spine, any lines, or dust under the screen, but then you could get it home and see the left side is yellow. That is harder to see in the store as is seeing how even it is lit.