This Bible contradiction is from the Skeptic's Annotated Bible.
No, they shouldn't be.
Matthew 6:31 View context
Therefore take no thought, saying, What shall we eat? or, What shall we drink? or, Wherewithal shall we be clothed?
Yes, they should be.
1 Timothy 5:8 View context
But if any provide not for his own, and specially for those of his own house, he hath denied the faith, and is worse than an infidel.