I am having a similar problem on my iPad 1 (version 5.1.1). I am a branch president and until recently, I did not experience this issue (maybe this resulted from the upgrade to 2.1.3??).
When I tap the Directory tab, then tap any member entry, the detail comes up for about 5 to 10 seconds, then the app closes abruptly.
Interestingly, this issue does not occur on any of the other tabs. Also, when I select another unit in the stake besides my own, I can tap a member entry, and the detail will come up and stay on the screen until I take another action.
The issue occurs only on the directory tab on my own unit.
I had come to rely on the app to look up member numbers while conducting temple recommend interviews, as well as using it for other information as I conduct other interviews.
I have repeatedly updated the data, thinking that would solve the issue. I also deleted the app and downloaded it again from iStore, then downloaded the data once again. I get the same issue after re-installing.
This is getting pretty frustrating. I would appreciate any suggestions.