I can see how someone with an ASD could appear markedly charismatic and become a successful politician (Daniel shudders at politics, but that's of no concern to this point), without actually knowing genuine social conventions and niceties; people, social people do follow those who know what they're talking about, or appear to, and the "aspie" who's obsessed, and has good cognitive development will know what he/she is talking about. This "certainty" of words makes leaders.
They'll also have little problems talking "at" people as a whole, a crowd
one can learn what to say to a camera, to a crowd; an "aspie" will have observed, and perhaps learnt the social graces, and applying it mechanically in a political setting is completely different to interpersonal relations (and far easier for someone who, by definition can speak mechanically)
an "aspie" may be totally unfazed by political bickering depending on how his or her emotions are affected; a calm demeanour due to a lack of nonverbal cues
the aforementioned "certainty" of words
I can see it, and I remember my mother telling me that there are arguments stating Hitler may've been on the spectrum (this is of as much use as saying Einstein was--none at all, but it provokes thought).