This situation is out of control because - YET AGAIN - someone you know who is playing Drinax has permitted a grossly overpowered result. Super-powered psions have AGAIN made someone do something that hands vast power to the players. Not long ago it was the Duke of Tobia who was psioniced into gambling away his Medium Strength Superdreadnought or something. Now a roomfull of Imperial officers have been psioniced into changing sides.
But anyway. A heavy cruiser and its associated task force have just gone rogue. That absolutely cannot be tolerated by the Imperial authorities. A former Imperial Navy ship in rogue hands? The response would make the pursuit of the Bismark seem like the South Hylton regatta by comparison. That ship would be found and destroyed, and an inquiry would be set up to find out how this all happened. if the truth is even suspected, the Floating Palace becomes a pinyata for the Imperial Navy. Everyone is hunted down and put on trial. Everyone. Every single crewmember, eveyone who had contact with the ship. Some will be found innocent, but in the process the truth will be at least partially uncovered - Drinax somehow made a squadron commander hand over his ships. Whether the actual means is discovered or not, Drinax is finished.
When the Floating Palace is a smear on the surface of Drinax and everyone invovled is dead, in prison or running from bounty hunters, the situaion will be under control once more.
Seriously. Something like this might seem like a clever stratagem to players, and the referee might let them make a couple of die rolls and winwinwin, but the consequences of something like stealing an Imperial cruiser are that you die or rot in a gulag.
How to cope? Maybe just narrate what happens ('a year later the Imperial Navy has hunted down all the ships of the task force. Floating Palace is toast, you're dead or on the run').
Then start a more sensible game where you don't allow this sort of thing to happen.
Also... consider this. If little Drinax has superpsions who can do this, others probably do to. The Imperium probably has a black ops psi programme with its own super psis. and more importantly, will be taking steps to prevent psionic suborning of its officers. If it's so easy Drinax can do it to a whole squadron command team, the Imperium will consider it a threat to be guarded against.