Heheh, well you may not have a group who's would do this, but players can surprise you. It can depend on the character too, not just player. I wouldn't do this with the majority of my characters, but I could see it happening.
I'm not fully sure what prompts players to do these things. I think partly it can be frustration at lack of action. There's also a certain bravado about many gamers, wanting to prove they have the biggest Johnson. It can also be character related. Maybe your character literally does not negotiate with terrorists.
Another scenario I just thought of. They could start kidnapping the kidnappers and use them as negotiation tools. Karma is a bitch.
Both Highland and Burn Notice have good hostage episodes I recall, but sadly don't recall exact episode names. Oh, Dark Angel had a good one too, with the crippled hacker stuck inside.