My KG1 is 240hz native....

That's cool! :) You'll still need to use your monitor's built in settings (a.k.a. On-Screen Display or OSD) to set the maximum refresh rate. Nvidia Control panel's refresh rate and your monitor's refresh rate needs to match to get the most out of the gaming computer system.

I looked up your monitor's manual (KG1), and it says you can only reach 240 hz with the following graphics cards: GeForce GTX 745(OEM), GeForce GTX 750, GeForce GTX 750Ti, GeForce GTX 780, GeForce GTX 780Ti, GeForce GTX TITAN, GeForce GTX TITAN Black, GeForce GTX TITAN Z, GeForce GTX 960, GeForce GTX 970, GeForce GTX 980, GeForce GTX 980Ti, GeForce GTX TITAN X, GeForce GTX 1060, GeForce GTX 1070, GeForce GTX 1080. For other GPUs, please contact the manufactures to see if they are compatible.

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Since you have two 1080Ti cards on the gaming computer, You want to hook the KG1 up to your gaming computer for best gaming performance. I will be very, very surprised if you can't get 240 hz with a 1080 Ti card.

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According to the KG1 manual, it says that you have to first connect it directly to the display port on your computer (preferably to the DisplayPort on your graphics card) and then set your computer's resolution to 1920 x 1080 via Windows 10. If you connect this monitor to your computer's HDMI port, you'll only get up to 60 hz refresh rate. Once you connect your computer via DisplayPort. then go to your monitor's OSD (built in settings). There should be a button on the back or side of your monitor. Press that button to access the monitor's menu. Then use the monitor's button to click INPUT SELECT and finally select DisplayPort.

As for the other issues that are causing your gaming computer to crash, I think that Discord is to blame. Discord causes my gaming rig to crash whenever I have a game running with Discord. Remove Discord from the gaming computer and put it on another device (like the streaming computer).