You've got it backwards. Ships like the Stargazer are replaceable, lives are not.
Wrong. The
Stargazer is worth more than the crew's lives. Especialy in this instance. It'd be far too dangerous to let it fall into enemy hands, therefore the crew is expendable to keep it out of the enemy's grasp.
Of course, this entire point is completely moot. Why? Because Picard
didn't have to choose between saving his crew and leaving the ship, or destroying the ship and killing the crew. He could have set the self-destruct, hopped into a shuttle with the rest of the crew and waited for rescue as the
Stargazer blew up.
This is Starfleet, not the military. And without soldiers how can a military operate?
Wow. That's incredible. You first state that Starfleet is not a military organisation, then a few words later reffer to it as a military. Nice contradiction.
Okay, then. If Starfleet isn't the Federation's military, then what is?
"You've all been selected for this mission because you each have a special skill. Professor Hawking, John Leslie, Phil Neville, the Wu-Tang Clan, Usher, the Sugar Puffs Monster and Daniel Day-Lewis! Welcome to Operation MindFuck!"