I would doubt the full body would cover anything more than the front screen cover on the front. It's probably just the front screen cover and one for the rear.
Either way, I wouldn't want the full body cover, because it would eliminate the soft feel vinyl of the Touch.
BTW,
how thin is the Invisible Shield compared to the stock cover?
And does it cover the entire screen cover area, or just the rectangular area of the LCD? I like how the stock screen protector is exactly the same size of the screen cover area. In fact if you apply it perfectly, you can't even tell there is a screen protector on. Not mine, though. I got it perfectly aligned, but one small piece of dust got stuck under and there is an air bubble that won't come out. I'm afraid to peel it up and try to remove it, because I'm far more likely to make more problems.
-Ed