Well,the term anti-christ tends to mislead. It is more deceptive than obviously being given to evil, though the part of being full of themselves can still fit.  More accurately, it is "in place of" christ...."another Jesus" that Paul warned of...thus, that first making of the covenant and all appears to be in good form, loved and followed by many people, until the time of the unholy spirit entering in, at which time this person attempts to "take the place of" Christ....so the more dangerous potential anti christ is one who is much loved, persuasive, developing power and authority worldwide...and it is entirely possible that the person himself, doesn't even really fully understand what will come over him.