If your TB2 is more that three years old, the adhesive securing the digitizer to the plastic body is probably dry and hard. The best tool was the large blade of my Swiss army knife. I had to apply a lot of heat for at least 40 minutes. It was not easy. The blade of the knife also gummed up with the adhesive and I had to clean it regularly with acetone. (Do it outside away from any heath source since acetone is very flammable)

In this situation and looking back at some of the other comments, I think the advice to remove the mother board and all its inputs is the correct way to do it. Applying so much heat to delicate electronic components is for sure not the correct way to do it.

Finally, in my case the screen was very fractured. For safety and hopping to avoid small glass going everywhere, I covered the screen with clear packing tape. That helped to finish the job without injury.