Sounds very dangerous even if you could separately remove the glass before taking the film off.
A better solution may just be adjusting your room lighting so there are no lights behind you. One trick HT buffs use, which I employed myself, is to buy a small fluorescent light and put it behind the display.
I merely went to Lowes and picked up their 18" under cabinet fixture and bulb set (about $16). It comes with a "Dayglow" (5000k) bulb. The brighter the light, the more accurate it shows colors. There are 6k bulbs you can get in T5 18", but fairly expensive and can be harder to get down to the desired light output.
I have mine set on top of a block of wood behind my TV facing toward the wall. I then experimented with various amounts of electrical tape strips on the light's lens along with a bent piece of cardboard taped on the fixture like a hood to keep the light confined to the desired area around the TV.
My fixture is the hardwire type without cord, so I bought an extension cord and cheap metal grommet as well as a heavy duty in line rocker switch. All total it was around $20-$25 range I think. I cut the socket end off the ext cord, wired it to the lamp, and put the inline switch near the outlet I plug it into a few inches from the plug. It's only a few feet away from my PC chair. I can flick it on and off pretty easily.
The way I have mine dialed in it's great for horror movies and games that are really dark, but you can tailor any amount of light output you want. There's also a company that sells diffuser sleeves with a black dot matrix gradient for fluorescent tubes that vary light output by what position you turn them to.
