Competition over systems would be good. I favor a system with rewards, that requires both ground and space PvP, and I'd like to see it tied into a crafting system.
I think they should tie the rewards for that competition into a unique crafting system where one can build rare items with specific buffs, so that Klingons would have access to a crafting system. The faction that controls the planet has access to the crafting system. The crafting system should also have a tax - set by the fleet that owns the system - so that the fleet in ownership must spend to defend the planet they own - but the cost of high taxes is fewer purchases. This would add a give and take player controlled minigame to the entire system.
There should be 6 systems competed for, each system would have crafting specific to one energy type (phaser, disruptor, polaron, etc..). Each system should be competed for every 2 weeks, with 3 systems each weak. Fleets must sign up ahead of time at the system members of their fleet can compete in, and only one system per week per fleet. In theory, a fleet could own up to 2 systems, unless that is somehow forbidden by mechanics.
The cost to attack / defend a system should be high - for example, the equipment in a starbase, npc ships, npc ground folks, turrets, etc... should be allowed to be purchased. I'm a General / Vice Admiral - allow me to hire a bunch of NPCs to command in battle.
Allow us to spend our extra badges/marks/etc on our military forces - thus give us a reason to earn badges/marks/etc.. during the week.