He hasn't won it yet. It goes back for trial, and is subject to a stay by the full 9th Circuit.
In any case, nothing will change in most classrooms, or Congress, or wherever this is recited. People will still say "under God," and nobody can stop them from doing so.
Ahh, thanks for pointing out it was remanded back to the District Court. I hadn't gotten that far in reading the decision and so my post #77 about en banc review is basically worthless at this point.