I don't disagree with the concept of unity. I just prize productive independence over it if I have to choose.
Emphasis on unity over productivity doesn't work when you have people who don't prioritize productivity. Put me and my INTJ and/or ISTP friends on a project, you'll see some unity. We have a common goal along with the fervor to achieve it.
Put me on a project with a less agreeable/focused/results oriented person, I will just do it myself because I'm not going to waste my energy trying to get along with someone when that is not my objective.
I want to complete the task correctly. However that happens most efficiently will always be my option.