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HoloTracker: Include (1) Character's In-Game Name, (2) Faction, and (3) Location
Though, a great alternative is basically tagging players who don't wish to identify as Empire, or Republic to be set to neutral.
I'm not sure I follow. Players can already ask to be tagged as neutral, if they don't want to be Empire or Republic.
It can be worked similar to how the inactivity tag works. As some may just view it as unnecessary work to post Empire or Republic. If they do not choose within a certain time, they can automatically be listed as neutral.