If they've disabled an Argentine Coastguard boat, I should imagine that the Argentine government would throw anything necessary at them, including aircraft so the outcome of the race would be a foregone conclusion.
Given the history between the two countries, I'm not at all sure that getting into Chilean waters would be any protection and, in any case, there's at least 200nm of Argentine sea on the direct path to the Falklands. That's at least 12 hours at maximum speed and they'd have to be awfully lucky for the sabotage not to be discovered before then.
I do like the idea of them luring Bridget to British territory where she might be arrested. Even if it was just Xavier and his goons, it would be something. I don't suppose what police they have in the Falklands, though, are actually armed so I don't envy them the job of making the arrests...