Apparently, this is a Navy CJ-3A.  It appears there is a data plate above the standard data plate on the dash that could very well document this.  That said, it seems like it should be painted navy colors rather than in a cammo pattern.

“Fully reconditioned 1953 Willys Jeep. Originally assigned to the Navy. Restoration includes rebuilt motor, transmission, rewiring, steering and suspension. Non-directional military tires, tow hitch, and roll bar. Runs great, super fun to drive!”

http://tucson.craigslist.org/cto/1746815016.html