Was that when Nomads invaded New York? I heard that a Corsair Cruiser or Dreadnought captained by an OTF member attacked Liberty forces, when they and also a few Order pilots were putting a stop to this invasion. Liberty authorities may well be the enemy of The Order, but such hostilities should not have been an issue at this time. The Order is primarily in place to protect Sirius against Nomads, I can only assume that was why two Order pilots entered New York, because its innocent people were potentially at risk. They didn't go there to inflame an already volatile situation with their neighbours. On the contrary, instead of being used to assist in removing the Nomad threat, the capital vessel attacked Liberty.
If you want my honest opinion, I would actually be very surprised Liberty has anything to do with OTF. In fact, I would rather presume that OTF are hosts of these Nomads.