We were trying to modify the libraries to assign the pins to different locations. Janitha found out that the only pins that are shared are - pin 9 only (A PWM pin).
Janitha came up with the excellent idea of using two Arduinos together...
This method uses one Arduino to run the GSM shield and one to run and control the DMD shield. The GSM linked Arduino pushes the serial signal through Tx/Rx to the DMD Arduino. Great solution - Programming next!