I'm a bit nervous about opening the link but I've heard about this, even if not that group, there is a strong halachic reason to oppose the negotiations. (You can read about a 12th[?] century rabbi, the Maharam of Rothenburg who was kidnapped and refused to be ransomed so as not to set a precedent of hardship on communities.) OTOH, there are legit. reasons to negotiate.
Noone's asking me. All I can do is continue to pray for Gilad ben Aviva, especially at the appropriate times in prayer (e.g. mention of the words Matir Assurim, the One Who frees the imprisoned).