You can't really loose anything here as you will need to get the point of taking the assembly off anyways to replace the discrete display unit within it.
The iFixIt crew tried in the teardown, in the process they broke it! So it's not easy to take apart. The good news here is yours is already broken! (no lost skin here).
The real issue is putting a new display into the frame and putting things back together. Review the iFixIt guides to see how its done. Maybe you'll need to hit up your friends for a loan to get Apple to fix it.
Good Luck!