Anbar is quieter than it was, but 157 US troops have still been killed there so far this year (it's been averaging 350 per full year in the past), so I'd hardly describe it as "quiet as a mouse".
On the other hand, 359 Americans have been killed in Baghdad so far this year, compared to 265 in the whole of 2006 (and 229 in 2004).
Overall, US casualties are up by a large amount this year, so I can't quite understand the claims that they are down due to the "surge". August was the second worst August for US deaths since the war started. July was the worst July, June the worst June, May the worst May, April the second worst April, March the worst March.