GEN Craddock is not the SOUTHCOM Commander. ADM James Stavridis is, since last October.
http://www.southcom.mil/AppsSC/pages/cdrBio.php
GEN Craddock replaced Marine General Jones as SACEUR.
http://www.nato.int/shape/bios/saceur/craddock.htm
By the way, this continues the rather odd tradition of SOUTHCOM Commanders going on to be SACEUR. John R. Galvin, George A. Joulwan, Wesley K. Clark. With Craddock, that's four of the last seven SACEURs.