Experiencing the same issue. (And posting to a message board to report crash bugs in a game, because gamesas hates customers?)
iPhone 6S+
iOS 9.0.2
Running 1.2 update.
This issue occurred as soon as I had a Rush failure, which lead to an incident (radroach infestation, I believe), where no radroaches showed up, and the dwellers started shooting at invisible radroaches. This incident appeared to continue indefinitely (at least 15 minutes), blocking me from rushing anything else.
Upon restart, every attempt to load my vault crashes.
Troubleshooting steps tried:
I was able to create a new vault and load that without issue.
I restarted the device
I tried loading my vault from the "vault list" screen.
I backed up vault to the cloud, deleted and redownloaded app, then restored vault from cloud.
None of these resolved my issue, every attempt to load my vault results in a crash to the home screen.