I think you can reason with almost anyone when it comes to sheer pragmatism. You lay your cards on the table, and state your position. It works better than insults and threats.

However, assuming you are correct in your strategy, how would you propose to kill off their leaders? They were (presumably) trying to kill or capture Saddam too, and it took a full scale invasion and months of searching for him afterwards.

They probably feel the same way you do... "you can't reason with those people". That's the kind of one-sided thinking that always drives these vicious disputes.