I have seen a number of multi monitor setups in my time and have never seen an issue with pairs of disssimilar monitors.
Windows lets you set the display frequency on each monitor seperately
Issues with multimonitor setups usually originate with the GPU, but you have not stated what yours is so whatever, I probably have not played with your specific model anyway.
Moving windows from one monitor to the other may be fun as the DPI are so different, but that would be only an amusing inconvienience.
Worst case, you could drop your 2k display to the same 60 hz as the 1080p monitor / turn off the 2nd monitor if it is affecting the display while you are running at 165 hz
Windows lets you set the display frequency on each monitor seperately
Issues with multimonitor setups usually originate with the GPU, but you have not stated what yours is so whatever, I probably have not played with your specific model anyway.
Moving windows from one monitor to the other may be fun as the DPI are so different, but that would be only an amusing inconvienience.
Worst case, you could drop your 2k display to the same 60 hz as the 1080p monitor / turn off the 2nd monitor if it is affecting the display while you are running at 165 hz