I'm not sure if there are tags for that. From the filtering options, when looking for ships, you can only filter on hull size. T hen, there is the steam generic workshop sortings of things like "most recent, most popular, etc".
Having never designed a ship and uploaded it, I'm not aware of any tag in the ship design to make it "dedicated" for a specific race/faction. If there is a way to do that, then yeah, faction based ship filters would be good. In general though, I think these ships will be for your use, not the AIs....but I can easily be wrong as I'm taking an uneducated guess. I havent really downloaded or used any SW ships. Filters for things like "carriers" might be a bit too abstract. If you have that, you would need energy, kinetic, missile, mixed as well...