Matching two monitors that have different backlight tech can be done if your profiling software can be set to xy coordinates. and not just CCT. You profile your main one normally, usually in combo with your hard proof lighting, then find the "white" on the second monitor that visually appears the same as white on the first. I've used Photoshop by creating a "white" blank image on the second monitor then adjusting the RGB levels so that the white appears the same as the first monitor. Then measure the xyY (xy is color, Y is luminance) with the same device that you will use to profile the second monitor. Profile the second monitor but set the color using the measured xy and the light level using the measured Y usually in cd/m^2.
This is the best approach I've found to getting cooperation between two monitors with different backlight tech but you need profiling software that lets you set the xy values.