I got my visa earlier this week. I and my wife called ahead to the office several times before applying, and what we found was that her quitting her job at the same time my current job will be ending did make things rather more complicated.
I was asked to bring proof of my current employment (ツ催敖職ツ湘倪?督セツ鞘??, my last year's salary (ナ陳ケツ静イ窶卍・ナステサツ鞘??, a job offer letter from my next employer stating my salary and term of employment, and a copy of the balance page in my bankbook demonstrating the amount of my current savings. We were told more than once that given the situation, her proof of employment wasn't of much consequence as long as my stuff was in order.
All in all, I got the confirmation postcard about 16 days after applying though they had said over the phone that we should allow plenty of time (~two months) for a response, because my situation was complicated.
Anyway, just wanted to put an update here in case this is of use to anyone else. Thanks to all those who contributed information.