That is a HUGE company, obviously, and they hire degrees in just about every feild of engineering. Electrical engineering is one of the top degrees for a company like that as you can imagine. Chemical and Industrial is big also.
A friend of mine who is working on a doctorate in chemical engineering has an opportunity to work there also. Industrial engineering is also a degree they seek because of the manufacturing process there. The industrial engineers that I have talked to (there building is located next to mine on campus) tell me though their degree is VERY non-specific. You basically learn to engineer processes and people.
and be sure to check out the "Where do I fit" link to give you some ideas. My degree is also in elec. eng., I was, (and still am considering) a job like that, but I am more into the large power field. The idea behind the processor design is cool, but you have to understand a lot of the actual designers will have Masters or a PhD. The conceptual design of processors would be awesome though!