Cognitive dissonance from Theological Word of the Day
The condition when some of a person’s beliefs are in contradiction to other beliefs they hold or to the way they live. Often people’s habitual patterns do not harmonize with their intellectual convictions. In Christianity, it is often the case that people attempt to live according to a Christian worldview due only to traditional bents without ever personally experiencing a true cognitive or intellectual conviction about such. This can produce a dichotomous life of dissonance or inconsistency in their beliefs and practices.
You mean there are people who do not practice what they say they belief? There is a separation into two divisions that differ widely from or contradict each other. And there is a disagreement in their beliefs and practices.
What people say they believe and having a real true cognitive conviction about it are two different idea.