The British provide the stereotypical example of my suggestion. The famous "Keep Calm and Carry On" slogan, of course, comes from their experience during the Blitz. (And yes, I realize it was never published in that time, but it still typifies the response.) The Blitz killed 40,000 civilians, but people did basically go on with their lives and let the government handle things, because that was the best way to do it. Freaking out wasn't going to help the war effort.
The British provide another example of the approach with The Troubles. Not so much in Ireland, really, but I think the response to the attacks in Great Britain qualify.
The British approach seems to work well. The American approach got us mired in two unwinnable wars, sank the country deep into debt, and wrecked the economy. I know which one I prefer.