You can contact GSD to have the non-member spouse added so she shows in the directory. However that's the only place she will be visible to others. She's not going to show up in any class rolls, etc.
As for the children, per General Handbook 33.6.2, if the both give permission, a "child of record" can be created for them. That will allow them to appear just like other children, including nursery and primary rolls. Without permission, I don't know as there's anything that can be done about it. They'll be on his record and nowhere else.
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