A well known mishna frames our parsha – the classic section of the Korach dispute [Pirkei Avos, 5:20]
Any dispute which is for the sake of Heaven [l’sheim shomaym], will in the end endure. Any dispute which is not for the sake of Heaven, will not endure. - Which is a dispute that is for the sake of Heaven? The disputes of the Hillel and Shammai. Which is a dispute that is not for the sake of Heaven? The dispute of Korach and his congregation.
R. Hisda say in the name of Mar ‘Ukba: Of him who slanders, the Holy One, blessed be He, says: He and I cannot live together in the world, as it is said: Whoso slanders his neighbor in secret, will I destroy; whoso is haughty of eye and proud of heart, him will I not suffer. Do not read: ‘Otho [him] will I not suffer’, but ‘Itto [with him] can I not suffer [to be together]’. Some refer this to the arrogant.
Come and hear: Although Beis Shammai and Beis Hillel are in disagreement on the questions of rivals, sisters,an old bill of divorce,a doubtfully married woman, a woman whom her husband had divorced18 and who stayed with him over the night in an inn, money, valuables, a perutah and the value of a perutah,
Beis Shammai did not, nevertheless, abstain from marrying women of the families of Beis Hillel, nor did Beis Hillel refrain from marrying those of Beis Shammai. This is to teach you that they shewed love and friendship towards one another, thus putting into practice the Scriptural text, Love ye truth and peace.
Said R. Hiyya b. Abba, Even father and son, master and disciple, who study Torah at the same gate become enemies of each other; yet they do not stir from there until they come to love each other, for it is written, Wherefore it is said it, the book of the wars of the Lord,] love is be-sufah; read not ‘be-sufah’ but ‘be-sofah’.
‘It is not in heaven… : the Torah has already been given at Mount Sinai; we pay no attention to a Heavenly Voice, because You have long since written in the Torah at Mount Sinai, After the majority must one incline.
Ka chayach v'amar nitzchuni banai, nitzchuni banai - Hashem was smiling and saying: my children have defeated me, my children have defeated me.
1
It is critical to point out that Chazal consider Korach to be a very great man and wonder where he went wrong. Cf. Rashi, 16:1 s.v. v’Dasan