That's nice, and I'm glad the servicemember won in this one.
But as has been pointed out here, military courts are NOT part of the civilian judicial system.
Now, I'm NOT an attorney...military or civilian. But I have had *some* experience with the military judicial system and how things "overlap" with the civilian judicial system.
In a phrase..."they don't".
And this is pointed out as early as boot camp, likely for all those, colloquially known to us Squids as "sea lawyers", who otherwise like to go around saying things like "you can't do this because (reason)". Get arrested, charged, and tried in the civilian world for any number of things...DUI, assault, burglary, arson, domestic violence, murder, etc. and you'll soon find just exactly how legal it is for the military to levy charges and try you on the SAME things under the UCMJ. And a handful of other violations as well, unique to servicemembers.
Double jeopardy? Nope. Two entirely different judicial systems. The two don't mix.
How the military judicial system proceeds with respect to a servicemember who has been charged with something in the civilian world is a mix of several factors, however. Many times they wait until the civilian side is done and then decide whether or not they wish to prefer charges as well. Whether this happens or not is based on a lot of factors which may or may not have anything to do with the actual charges themselves. If the servicemember has a fairly poor service record overall, the military may simply administratively separate the individual from the service. Or they could take it to a General or Special Courts-Martial. Or anything in between.
Maybe the military charges won't have anything at all to do with the civilian charges, but be something related simply due to the impact the civilian legal system had on the individual. If the individual was arrested by the civilians, for example, and was UA (Unauthorized Absence, or AWOL as many know it) or missed ship's movement because they were unable to return to their military command, then they could be charged with UCMJ Art. 86 (AWOL) and 87 (missing ship's movement). They could also be charged with a violation of UCMJ Art. 134, the "catch-all" punitive article as we knew it. If there isn't another UCMJ Article to charge one with, this one likely as SOMETHING they can charge someone with.
NOTHING in the UCMJ can be challenged in the civilian courts. NOTHING in the civilian courts can be challenged in the military judicial system. The two simply do not mix.
This doesn't mean that the results in one system cannot influence the actions of the other system. If a person is acquitted of arson, murder, assault, etc. in the civilian court system, then the military judicial system will think twice before attempting the same charges. They, too, do not wish to lose a case against someone and the fact that an acquittal outcome happened in the civilian courts means that there was a pretty strong case FOR the defendant. But that's not at all like a "precedent" which carries legal weight. It absolutely does not.