archer? fistfight, but losing it. i liked how janeway handled the situation with the aliens who poked needles in her head, too. she's the most determined of the bunch, but at the same time the one who wields the most of soft power.At least when she crashed a ship or blew it up, it was because she intended to.
A comparison of the different Captains' ways of handling a crisis:
Kirk: Fistfight/verbal poker
Picard: Call a staff meeting
Sisko: Play with his baseball
Janeway: Grab her phaser rifle/set the self-destruct
*didn't mention Archer because I never watched enough to notice what he does in a crisis