Hi Randy
If you do that, you don't have to do that. To be more clear, if it is correct that E1=E2=E3, than the orientation doesn't matter and you can use isotropic material anbd you don't need a material coordinate system. In stead, you can use that coordinate system to show stresses (σxx ,σyy, σzz ) where x and y and z are according to that coordinate system.
Erik