In order for there to be "unity," someone has to concede. Who shall it be? By what standard would that decision be made?
I remember finding the following passage interesting when I first read it:
Jesus speaking "Do not think that I came to bring peace on earth. I did not come to bring peace but a sword. 35 For I have come to set a man against his father, a daughter against her mother, and a daughter-in-law against her mother-in-law; 36 and a man's enemies will be those of his own household." Matthew 10:34-36 NKJV