bedsted,
I brought many dogs into US from UK and Turkey. You will collect your dog at the same area as you will be collecting your luggage. You may want to ask an attendant which door your dog will be arriving so you can sit closer and wait and wait..and wait....
My dogs hails from farming areas so I don't go through the normal customs process and usually end up being the only person at the USDA check point.
Good luck and you will find custom people much friendlier....to your dog..