Hi Andrew - MoI does export object names though to the OBJ and LWO polygon-based formats.

It is possible to write only triangular polygons to either of those files, so doing that would have a data file with the information in it that you needed. But I don't know if the particular program that you are importing into supports those formats.

If not then you might see if some converter is available that can convert an .obj file into the kind of format that you can read, one that you could try is MeshLab:
http://meshlab.sourceforge.net/

Because STL format is so limited, it's not a great way to translate multi-object organized structures between programs - OBJ format works better for that.

- Michael