In terms of "purpose", I always appreciate when a faction has "goals" in their Info / Description / FAQ thread; ideally, short, medium and long term goals that have some specifics.
This allows a player to get a feel for the reasoning of the faction, and therefore the actions of it's players. It helps with the RP, in my mind.
Does broadcasting your plans make you more vulnerable / targeted? Perhaps; if the Core went and said "Short term, we want to mine 100,000 units of Iridium Ore from Omicron Lost", then one could expect increased activity there.
In the case of the Nomads, the Vagrants have a pretty clear focus on what they are trying to do, whereas the K'Hara are more omnipresent and mysterious, much like the vanilla faction is.
If the K'Hara are lacking in forces, perhaps they could schedule / set up events where they have NPC support (as we've seen driven by Spazzy).