I have two monitors, an LED backlit Eizo 318 and CFL backlit cheapo. The Eizo works well using its built in colorimeter. Using those coordinates with an I1Pro 2 produced different whites so I wound up using Photoshop to create a large, white area on the second monitor and adjusted the RGBs to produce a matching white to the Eizo. Then measured the xy and used that in the profiling software's whitepoint. So now the two monitor's match quite well.
* as a side note the LED monitor's white and the CFL's white, both measured with the I1Pro 2, had materially different xy coordinates to get the whites to match. Even using 1931 10 degree CMFs, which were closer than the 2 degree readings. Likely individual variation and age related yellowing (me, not the monitors).