Heck, I would have gone for the Trojan Horse method. Send in a negotiator, and follow him up with a large group of boarders.
"General Kerensky's son is here as a negotiator. Along with 160 staffers." >:D
Don't forget, there were other Texas class ships in the Exodus, so the Kerensky Loyal Marines would have worked the situation out on how to take over the Bridge, CIC, and Maneuvering/Engineering Control in detail before going in. It would be not unlike the preps the Israelis had for the Entebbe raid (Operation Thunderbolt).
The best defense the crew has against boarders is knowing their ship very well. If the boarders know the targets lay out, it's a level of magnitude harder to defend against them.
UPDATE: If you're going against a hard target, loosing 38 dead and 56 wounded is not bad. If there were potential hostages that could be used against mutineers, the butcher's bill on the attackers would be moderated. Assuming you had a "distraction team" that went in expecting to die at an outlying location, Andrey Kerensky and Elizabeth Hazen's groups could have taken strategic points with out a problem.
And in my opinion, 160 boarders to hold a ship is not enough. I'd want at least twice the crew, in sheer numbers.
For a good treatment on boarding starships, try GURPS Traveller: Ground Forces. BORDERS AWAY! For Strephon!