"Rationalizing the inconsistency" is the term for when there is inconsistency between a person's beliefs, attitudes, or behaviors.

Rationalizing Inconsistency

The mental process of making illogical or inconsistent elements seem logical or consistent as a way to justify actions or beliefs.

Beliefs

Mental acceptance or conviction in the truth or actuality of something, often without complete proof.

Attitudes

Psychological tendencies expressed by evaluating a particular entity with some degree of favor or disfavor.