Anonymous, I worried about using that word -- "exterminating" -- too, but I had been reading Nicholson Baker's HUMAN SMOKE and was coming across the use of the word by the Nazis and others, and it seemed appropriate to use it to reflect the Nazi mindset.  (You'll notice that Mateo above uses "extermination" as well.)

 Steve, I too am appalled by most of the actions of our government with regard to Iraq. I wouldn't equate it with the Holocaust, however.