I did pay attention, you said "The president's WOT makes no such distinction” my emphasis. “no such distinction" means that no distinctions is made, not that we sort of make a distinction, but we don't like terrorist of any kind. Anybody can misstate their position, but don't accuse me of not paying attention, because what you said, wasn't what you meant.
In any case the argument doesn't hold water, Iraq is by far the single most expensive part of the war against terrorism, both in lives and in dollars. I have absolutely no doubt that Bush is willing to help Israel with Hizbollah (Or however that's spelled), but you don't spend tens of billions of dollars and several hundred lives, to deal a fairly minor blow to one of many terrorist groups, who doesn't even attack you. No-one is that good allies.