I currently work for Lockheed Martin at Sandia National Laboratories in Albuquerque, NM. I used to work in the Lockheed Martin division in Orlando about 3 years ago. What facility are you trying to get on with, the Lake Underhill facility or Sand Lake facility? The way I got my contractor start at the Lake Underhill facility was through a contract company called Superior Technical Services, out of Palm Bay, FL. Perform a Google search on them for more info on their contracting procedures.
If you tell me a little more about yourself and qualifications, I would have no problems referring you internally, and I know a few old co-workers at the Lake Underhill facility still