I see a couple potential issues here.
1. The In-Premise Display Simulator is a Windows app, so you'd need to run it from within a Windows emulator on Linux. I haven't tried running it within WINE, but that would certainly be a good candidate for attempting to do this.
2. The XStick interface uses an FTDI USB-to-serial driver when used in Windows. I believe a Linux counterpart which might work is the ftdi_sio module.
I used to play a Windows game on a RedHat box using WINE. It worked pretty good actually, but since I don't have that server anymore I can't test this theories I mentioned above, nor is it an environment Digi supports for this application.
That being said, I wish you the best of luck should you attempt it, and if so I hope you'll report your results here not only to satisfy my curiosity, but so others can benefit as well.