Hmm. ISO won't pass up a mercenary opportunity, nor smuggling or piracy. Our main focus might be mining, but those are pretty important too. I think we'd best be described as a "Outlaw" group. I think that's the best phrase for smugglers and pirates in your faction types. I would suggest, perhaps, Outlaws, Military, Trade, Mining, Government, and Mixed as possibilities. If you'd like to stick with the originals, jot ISO down as Pirates.
Rainman/Ashtar Coalition, I like the sound of that. I'll keep in touch for friendly trade relations.