I looked at your log and I was somewhat surprised to see you are running Yosemite, not El Capitan, actually. We have a lot of reports of flight hardware issues with El Capitan.
Our developers are aware that the latest OS update broke Saitek wireless joysticks and are looking into the issue. I sent them this info as well in case it's related.
If you haven't tried it already, you can start X-Plane with the hardware plugged in already, and try unplugging and re-plugging it in to see if that changes anything. Let me know if it does.