I hate to tell you, but your file is of very limited use. Little known fact: Matlab (at least from 7.04 on) includes an AA, it is just hidden. Try the following:
It will give you AA on the real 3D object, i.e. paning, rotating, zooming possible in real-time, no need for time- and memory-consuming calculations. The "LineSmoothing"-property is available for all relevant HGObjects, i.e. lines, patches, surfaces.
I think the smoothing is also applied to exported and saved figures, as long as you specify ZBuffer or OpenGL as renderer.