De Fruyt et. al. (2000) found that:
There is considerable overlap with the FFM dimensions is demonstrated and the results show that each TCI factor is substantially covered by the FFM.
A conclusion of this finding is that the TCI does not add anything more to an understanding of the individual above and beyond the FFM.
De Fruyt, F., Van De Wiele, L., & ...
I've not seen self-infallibility listed anywhere; however, there are a few psychological constructs that may be useful:
DSM5 - Conduct Disorder
DSM5 - Narcissistic Personality Disorder
DSM5 - Antisocial Personality Disorder
Overconfidence may be a synonym for self-infallibility in the context you are thinking. Overconfidence would normally be ...