Actually most of the guys I served with went on to do non-nuclear power plant jobs. Many of those jobs required more training or going back to college.
Personally I really liked going back to college instead: I had the GI Bill, college scholarships, and I got to collect unemployment for 6 months while going back to school (aka "job retraining"). Plus the discipline and study habbits that the Nuke Program forced into you should make college a snap. At least it did for me. That was great --> getting good grades, having money in college, and still finding time to have fun!
There are a lot of non-power plant "nuke" jobs too, especially if you want to get involved with the Remediation, Environmental, and the Health Physics aspects. I was a nuke MM but I went on to get my BS in Civil Engineering. My job now is as an Environmental Engineer, but my group specifically deals with radiological remediation projects in the DOD/DOE complex.
One of the big soil remediation projects that I was a part of had several ex-navy nukes on it: the RSO, the Waste Shipper, 2 of the CHPs, the QA Officer, and the Lab Manager. All of us were blueshirts in the Navy, but are now managers in the outside world. I have found a lot ex-nukes in the Environmental and Remediation fields.