If done with careful mediation, I think this could be done.
I feel it would require 3 GM's to operate though. One for each ship, and a third to act as a referee. Should there be a dispute between players, the GM's of the ships work it out. If the GMs have a disagreement, the Ref GM would be asked to read over the problem in question and make a final ruling. The third GM could also be there to throw in the random post, at any point in time to add in a sudden environmental addition to the fight to make things... Interesting. SUDDEN RAD STORM!