An independant/factionalised player takes his Outcast Destroyer into New York. Shoots up countless fighters (Magically, his aiming must be impeccable and their dodging god awful) and generally is an ass.
What to do?
The best you can. Including ignoring him.
He can't attack traders or anything like that so piracy is out the window.
So ignore him. He can't do anything except fight well..you.
YOU are his prey and the more his prey eludes him, the more angry he will get.
Hopefully he will either get bored and go away or mess up and end up getting sanctioned.
Either way, he loses out.
Of course, that said, you can always go down the 'OORP sanction' route.
Depending on your view (Admin clarification would be required) then taking one of the precious Outcasts' ships away from their fight with the Corsairs to go shoot up some fighters etc (And in RP invading the capital of the richest and most powerful House in Sirius, which should result in imminent death) would really be punishable by the Outcast Dons.
Still, that's an odd case and would need Admin's to clarify things first.
Of course a solution to this would be weapons platforms.
Gallia has them and they are damned effective.
I can't get my Battleship close to any Royalist station for longer than 30 seconds if I want to keep my shields up and that time is spent charging cruise engines again.
Instead of the only RP thing of 'You should be dead in this system'
Why not have people actually..dying instead?
In final:
Ignoring the capital ship in your fighter is a way of beating the capital ship, since it can't pirate. Just ignore it.
Actions such as taking an Outcast Dessie into NY could be OORP (Like Order ones apparantly. Admin clarification required)
There should be weapon platforms or something to kill large capital ships easily in places where they should be (Such as Manhattan etc.)