Don't sell Americans short on their ability to withold empathy for non-Americans though. They know that the men who stole control of four planes on 9/11 were civilians too, and they still generally trust that their government is ID'ing threats to national security correctly.

Whether the government is actually doing that (and whether---even if it were---that's sufficient for completely extrajudicial killing that would be called "waging warfare" in any other context) may not be things an average American is asking before going to sleep at night.