It's a long time ago but I seem to recall my Dad being involved in Courts Martial involving dependent civilians in Lahr. Those wouldn't have involved the CSD but there must have been some delegation of civilian legal processes to the military justice system under those circumstances. FJAG would know better and like I said, long time ago (early 70s) and there has been a whole lot of change to both systems since then.The NDA seems to grant the GiC a great deal of leeway in making someone subject to the CSD.
I am sure a Court Martial that involved a civilian would end up at the SCC over jurisdiction issues. It would be interesting to see that ruling…