Contradiction with Genesis 6:17
This verse speaks of God's intention to destroy all flesh with a flood, which contradicts the notion of salvation for a household.
Genesis 6:17: And, behold, I, even I, do bring a flood of waters upon the earth, to destroy all flesh, wherein [is] the breath of life, from under heaven; [and] every thing that [is] in the earth shall die.
Contradiction with Matthew 10:34
Jesus states He came not to bring peace, but a sword, contradicting the theme of salvation and peace for a household.
Matthew 10:34: Think not that I am come to send peace on earth: I came not to send peace, but a sword.
Contradiction with Luke 14:26
This verse speaks of hating one's family compared to love for Christ, which contradicts the idea of household salvation.
Luke 14:26: If any [man] come to me, and hate not his father, and mother, and wife, and children, and brethren, and sisters, yea, and his own life also, he cannot be my disciple.
Contradiction with Revelation 6:8
This verse speaks of death and hell following, contrasting with the theme of life and salvation in a household.
Revelation 6:8: And I looked, and behold a pale horse: and his name that sat on him was Death, and Hell followed with him. And power was given unto them over the fourth part of the earth, to kill with sword, and with hunger, and with death, and with the beasts of the earth. [unto them: or, to him]