How do you go about applying classified Military training to a job search?

You should be tailoring your resume to each job you apply to. See how they phrase the skills they are looking for and see it it's comparable to what you did. You don't have to be specific about what you did exactly however attempt to show what sort of processes you may be familiar with. I have a few base resumes geared towards different fields/jobs that are easy to tweak if need be for specific job postings.

I'm a Black Hawk Crew Chief in the National Guard and I finished my BSBA in Accounting last year. It may not seem like there's any correlation between Accounting and being a Crew Chief but there are aspects of my Guard job that I felt correlated well to skills employers were looking for.

I'm not sure of this reference but it may be worth checking out. They supposedly have a system to help veterans translate those skill. It was recommended to me by another veteran with the same issues you describe. Inasmuch as I'm retired/retired I don't have a need for it. I don't even know if it's free or fee based. Please let us know if you check it out and if it's worthwhile...

http://www.certavet.org/

I used to be an OS crosstrained in EW. STs were behind me in their cave. More recently, I was long term out at Subase Bangor. The maximum you can get out of your knowledge would be to work either for the Government or DoD contractor who makes/services the systems you're familiar with. Past that point, things start dropping off fast because you start comparing apples to oranges. One area to take a look at is the research organizations and oil companies who utilize sonar technology. Way out there would be treasure hunters. The problem overall is many military skill sets have limited commercial application but that has been changing over the past 10 years, especially in the IT crypto world.