I installed mine with a LuckyLabs skin on the back. This skin took some flak for not extending very far up sides of the iPad 2. I think in this case, it actually helps because it probably doesn't get anywhere near as much in the way of the side contact points of the case and iPad 2.
It's a snug fit and I had to push with moderate force to get the iPad to sit flush against the top of the case. I suspect it will loosen up more with time.
More in a bit.
Can you post some pictures? I too have a body film on and I was wondering how tight it is.