Oh my! Having a touchscreen that won't respond is never a good thing. There are many things that can factor a non responsive screen. Most of the time; it is a result of a recently installed application. I definitely want to get this fixed for you.
Let's try running your phone in Safe Mode. Slide your keypad up on your Droid 2; Press and hold the "OK" key while powering the phone on. Here is a visual to enable and disable Safe Mode:http://bit.ly/o5McAQ.
We recommend keeping the phone in this mode and testing the touchscreen out. If it is responding properly while in Safe Mode, remove the most recently installed applications then power the phone up to test in normal mode.
If you are unable to determine which applications are causing the freezing; the next step would be a Master Reset using the Alternative method: http://bit.ly/GPI14h.
Let us Keep us posted. We are here to help.
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