Intellectual honesty is not easy. But 1 Corinthians 14:24,25 relates it as a Christian virtue. And James 1:22-26 relates it as a must.
"But if you are all prophesying (speaking God's thoughts) and an unbeliever or an ordinary person comes in, he will be reproved and closely examined by them all. The secrets of his heart then become evident, so that he will fall facedown and worship God, declaring: 'Go is really among you.'" - 1 Cor 14:24,25
"However, become doers of the word and not hearers only, deceiving yourselves with false reasoning. For if anyone is a hearer of the word and not a doer, this one is like a man looking at his own face in a mirror. For he looks at himself, and he goes away and immediately forgets what sort of person he is. But the one who peers into the perfect law that belongs to freedom and continues in it has become, not a forgetful hearer, but a doer of the work; and he will be happy in what he does. If any man thinks he is a worshipper of God (or "is religious.") but does not keep a tight rein on (or "does not bridle.") his tongue, he is decieving his own heart, and his worship is futile." - James 1:22-26