The JSDF are considered part of the Japanese civil service, yes. On, say, a drivers license application, you'd put down 公務員 (自衛隊) or something. Same as any other government employee. No separate main category for them.
Most other countries consider their military (even small ones like New Zealand) separate from the civil service. Hence the 'civil' part.
Well, I'll explain later.
Won't you come with me for a bit?That was close...
Nearly stepped on you there.
Sorry 'bout that.*surprise!*Whaaa!?
You're lying, aren't you!?Whoa Nelly!Yea!Hol... Hold on a moment!?Going with such scant words...DASH!Huh...?Grab!I've already gotten permission from the school, and I'll get guardianship later, too.Okay! Let's go!Hmm... something like a public servant, I guess.