I'm in a similar situation though my spouse is not in psychology so this might be a little different. We lucked out in that we both got tenure-track jobs at the same R1 via independent searches. What seems to be more typical is that one member of the couple is a "better" candidate than the other and when that person gets a job in a department the other might be brought on board as a "spousal hire" (which can range anywhere from a tenure-track position to an adjunct).
One thing I would advise you not to do is bring up the two body situation before or during an interview. Before you get an offer, you have no leverage. Unless you or your sig. other is THE superstar of superstars on the market this year, mentioning your sig. other will need a job in the same department could easily decrease your chances of getting an offer because most departments seem to be on tight budgets in this economic environment. After you get an offer (and esp. if you can get multiple offers), the power then shifts to the candidate. Because the department has committed to you as the top choice you have some leeway in negotiating at least an adjunct position for your sig. other.
Another approach is to limit your searches to schools in the same large city (e.g., NYC or Chicago). You both might be able to obtain positions at different universities in the same location.
The whole academic job search process, which is arduous to begin with, is so much worse when have to find 2 positions, especially 2 in the same area (that's really tough). Good luck with everything!