it should NOT be the same.
Color profile for each display should correspond for that exactly display properties (at least for that model) for software to show colors correctly.
And it is practically impossible to fully sync colors in described situation. They will be just more or less the same.
Better set brightness to same visual level and disable light sensor.
Do you mean creating a new color profile for each screen? You can do that, if you wish. I use a Spyder4Elite to calibrate both my MacBook Pro screen and my Apple Thunderbolt Display screen, but I can tell you that neither truly matches the other. If you want to get them as close as possible, use the screen calibration and tweak the settings to your liking, or use a color profiling device such as the Spyder.
You're just not going to get the SAME color from both screens - you can get close, but not spot on.