The main problem is that white point 6500 or any other on wide gamut and standart(srgb) gamut monitors will be visually different.
Yes, that's what I said ...
"no, you're not likely to get two different monitors to match. Even if you had two of the SAME monitors and one of them was new, and the other was 2.5 years old, you still might have difficulty getting them to match because the characteristics of the backlight will change over time. The older backlight will have a different spectral power distribution than the newer one"
Hence the reason you MEASURE (with a colorimeter or spectrophotometer) the color temp of the primary monitor after it's been profiled and calibrated and using that as a starting point. You will most likely need to make a visual tweak. You're talking about two monitors with massively different spectral power distributions.
So if I put this input parameter in any calibration software
Again, you do not input the same number for both monitors. You profile and calibrate one, and then MEASURE the result and use that measurement as the basis for the white point of the second screen. Even then you may need to visually tweak the white point.
there is no way to make the same white point. It is written in the document which I mentioned in my first post. Eizo offers the solution but only for coloredge series(don't really know how accurate this method) but as I understand from all your answers there is only visual method to make white point on srgb and wide gamut monitor the same.
That is your best bet. I skimmed over the Eizo article and page 6 describes the reason for what you're seeing (I think you have a pretty decent grasp on that).I have to read the article more closely but on a quick skim it looks like they're measuring the spectral power distribution of both monitors and compensating as best they can for those differences. I'm not sure how they'd accomplish this with a colorimeter as colorimeters can only measure RGB values. You need a spectrophotometer to take spectral measurements.