Morality is more important than any other concerns. It should come first in our thinking. It should come last in our thinking. And it should dominate over our thinking.
(To avoid confusion, for many issues, like doing science, morality usually just says to use true epistemology and do a good job, or something rather minimal.)
Many people oppose the war. And virtually all of them do not temper this opposition with morality. First, the war is wrong and will be opposed. Then maybe later we can talk about little detailed bits of morality that pale in comparison to The Cause. This leads to the anti-war folk saying anything they can to oppose war, moral or not. And thus they say false things. And dishonest things. And meaningless things. And things that sound catchy. And things they don't understand. And demonstrate no intellectual integrity.
Of course, most of them deny morality exists, and few value anything. Many would claim morality is a matter of opinion, or that it's just a religious idea (as if the source of an idea could make it wrong). Why do I say they value nothing? Well, we know they don't value peace, happiness, liberty, non-violence, or getting their facts right. (Those tortures taking place in Iraq right now sure are peaceful...) They defend the unsuccessful, but I don't think they actually value failure. It's just an easy way to pretend.
Morality first applies to perfectly good people to, in realistically useful ways. Like I want hits. And if that was primary, I might be tempted to lie, or spam, or ... well I don't know, but if I was a bad person I'm sure I'd think of something. And throwing these out because of self-interest (well, if I spam, maybe that will annoy people and I'll get less hits) is not the way to go. Even if that calculation, in the limit, gets the same answers, it'd be wrong to waste that much computing resources on it.