Yup, I did exactly that.
First get a big piece of cardboard or something that will hold its shape and trace the curve of the top of the screen. Then cut along the line.
Assuming you know how much you want to remove, tape both sides of the screen, I used plain old masking tape, and using the piece of cardboard draw a line on the tape a little above where you want to end up cutting. Better to cut too little than too much.
I used a Dremel with a cutting wheel and ran it just fast enough to cut the plastic. Once you're done use increasingly finer sand paper to smooth the cut line.
I took off about 2 inches, just enough so that I could look over the top.