Well i decided to purchase this game and at least know i can see the main menus, but when i try to start a new game and that's when the game crashes. It seems that the game doesn't like dual-monitor setup :(
To anyone having issues running this on Windows 10, I have found a solution:
After you install the patch listed in the op's post, delete or rename winmm.dll in Jedi Knight's main directory. This file is used as the CD audio wrapper with this game. Renaming or removing this file will obviously disable the CD audio music in this game, but at least it works now.
This also applies to the other Star Wars games that have cd audio (although the DLLs are named differently). So it looks like the CD audio wrapper is causing issues in Windows 10. I am sure GOG will fix it in time.