Yes, so does President Bush through intermediaries in Syria and Iran.
You can't mediate with terrorists!
The IRA will tell you differently.
The terrorists don't want peace!!!
Debateable.
The terrorists want to terrorize!!!!
Yes, but ask yourself why they terrorize and what is the most efficient way to deal with the problem.
You won't stop terrorists unless you KILL THEM DEAD IN THEIR TRACKS.
That's one way, but you can't kill every angry young man in the Arab world. Eventually you must make peace and that's where mediation comes in.