Put yourself in a hiring manager's shoes. You have scores of applications for a few spots. Your goal is to hire the best and brightest who have the potential to move up in the company, or will be a top shelf operator. If you want a job in nuclear power for a short period of time then you'll either need to be so good that the company would be foolish to not hire you; or you will have to lie and say you're in it for the long haul, because at all five of my job interviews I was asked what were my long term plans. Would you hire someone who says he's only here to make some money so he go on to something else?
BTW, one of my good friends in the Navy owns several properties that he rents. He is currently an LDO in Japan. Though it's sometimes tough to manage his interests from so far away, he's happy to have the upcoming retirement and current income in this tough real estate market.
Do not automatically assume you're a six and outer. Lots can change in 3 years. As others have recommended, the same same things that make you successful in the Navy, will help you succeed outside the Navy.