We finally 'resolved' this issue. It turns out that switching to a 32-bit JVM and i586 dlls fixed all of our problems. I went in with an opengl debugger and could find absolutely nothing out of the ordinary with our opengl states at the time of the crashes. Should I be filing a bug somewhere?
For those of you that are interested, here is the repro that worked on every 64 bit machine in our office:
1. Install a 64-bit jvm
2. Install the 64 bit dlls (http://download.java.net/media/jogl/builds/archive/jsr-231-1.1.1a/jogl-1.1.1a-windows-amd64.zip
3. Draw enough to the screen that your machine is stressed to sub 60 fps.
4. Flood awt with mouse input.
The crash on our machines reliably happened in under a minute, usually within a few seconds. If anyone else can repro using these steps I'll try to figure out how to file a bug.
== EDIT ==
I forgot to mention, a key step to reproing this reliably for us was having more than one client up. so a step 3.1 in the repro would be: "Start up multiple instances of your app"