There was a thread I saw in a part of the site that I am not allowed to post in that talked about having issues with egocentricity and messiah complexes while on LSD. They chalked it up to "plant spirits" and the unwholesomeness of synthetic compounds, but I have a much more concrete reason for this. LSD, unlike most psychedelics, also acts on the dopamine receptors (d2 and d3 agonists if IIRC). These are the same receptors amphetamines indirectly stimulate (though the way they stimulate is very different, they raise endogenous dopamine levels). This dopaminergic activity contributes to the "creative-stimulant" activity LSD has (hoffman himself took microdoses as a mild stimulant, he compared it to ritalin, and if it hadn't been made illegal he intended to bring it to market as a tonic), but can also cause egocentricity and mania.
However, in the "Handbook For the Therapeutic use of LSD-24, Individual and group Procedures" (1959 - D.B. BLEWETT, Ph.D. & N. CHWELOS, M.D.), they briefly talk about how some people tend to shift the focus of their trip either entirely outward (escaping the internal reality) or entirely inward (escaping the external reality). They thought that the egocentric effects of LSD were actually examples of the Psyche trying to protect its sense of stability (aka a psychological block, which would be counter-productive within a therapeutic setting).
I personally think it's some combination of the two factors. Some people already have very active d receptors, so there may be a population segment that is prone to mania, messianic thoughts, or other forms of egocentricity while under the influence of LSD (I consider myself a part of that population). In my experience, this can be (partially) combated by having a sober trip sitter present to help a tripper keep a grip on reality.