… according to this interesting post by Michael Barber:
The Levites have had to renounce (“he did not acknowledge” [Deuteronomy 33:9]) their own family members–father, mother, brother. Likewise, Jesus explains that his disciples must renounce “father and mother and wife and children and brothers and sisters”.
His disciples therefore are called to be spiritual priests. In this his disciples fulfill the original vocation of Israel, described in Exodus 19:6: “you shall be to me a kingdom of priests and a holy nation.” However, because of their idolatry the priesthood went only to the Levites.
1 Peter explains that this vocation now belongs to believers: “ But you are a chosen race, a royal priesthood, a holy nation, God’s own people, that you may declare the wonderful deeds of him who called you out of darkness into his marvelous light” (1 Pet 2:9).