After the first day, I decided to return the glue, and exclusively use screws. Although I'll need more screws which will make my sanding and finishing job more difficult, at least I'll be able to sleep at night!
We worked about five hours on Sunday, and the second day of drywall installation went much smoother. Even though we had a closet, more pipes, and a stairway opening to contend with, we made it around to the short wall bordering the office. Things are really coming along!