I made this video for the Nintendo.com forums, but I figure it might be helpful for someone looking on here...
http://www.youtube.com/watch?v=9CtsVgJ1irsSo, here's what's going on. Sorry for the crappy camera job, I was running my camera phone while doing the cutting... it's rather difficult.
If anyone attempts to do this, please be very careful. Children should not attempt to do this, nor do I reccomend attemping to do this while filming it.

Anywhoo, So you make a cut through the plastic on each end of the case. Then, run your blade flat along the corner where the plastic edge meets the case. I paused the video at this point (around the 1 min mark), but during the pause, I ran my blade over this same area 5-6 more times. Eventually, you'll hit a spot where you break through to the other side (that's where I restarted recording). Once you do that, stick the blade all the way through and (if you ran the blade across enough times), you should be able to cut the entire plastic strip off. As you can see with this particular one, I didn't run the blade all the way at the end enough times, so I had to kinda go at it again there...
But that's how I did it...