Keep your head, buff up your resume, start exploring other worlds.
Not certain what your job was but some non nuclear entities could care less if you were a nuke. They have no idea what the training, environment or responsibilities are like.
Do not bad mouth your ex employer. It does no good and makes you look like the ass clown they now believe you to be.
If you know of a place that has a nuclear bud of yours employed then contact him. Chances are if he isn't a douchelord they like him and his work ethic/standards and are just waiting for the chance to hire another good nuke. At your interview let them know what you can do for them but do not sound holier than thou.
If you don't have it get linkedin. I got a wonderful opportunity because an ex NLO of mine got interested in Performance Improvement for Organizations. He left nuclear, contracted for a couple years but realized those who say they earn 200K a year contracting are lying so he took a job at a Fossil Utility as an executive director. One day he was telling the manager of generation and the board of directors he knew just the guy to cure their training and Ops Standards ills but his choice was in the nuclear industry and he figured I wouldn't leave it.
He said he decided to see if I was on linkedin, and to his surprise I was, and retired. (I had JUST registered the day before) He called me. I sent him my resume. They created a job using my resume and less than a month later I was hired.
It helped that he had to give a presentation to his Board Of Directors on how aberrant behavior can create a safety concern in the work force. I took 20 minutes and created a lesson plan based on an actual event I had known of. I sent it to him. Said this is a draft but it might help you with a starting point.
He presented it as is and his CEO said it was the best presentation he had ever seen. Go me it was a starting point. To them it was great work and implied great effort.
Just saying. keep your head, don't make a bad situation worse.