The prejudice against Sicilians as being "part black" comes from a stupid old myth about Moorish invaders from Africa raping all of the native women on the island which was repeated in this scene from the movie True Romance. But in reality Sicilians are no different than other Italians, in either their looks or their DNA profile, because the Moors were not really black and they didn't stay for very long.
Regarding your results, the North African and Sub-Saharan African (usually less than 4% and 1% respectively) are what the short Moorish occupation actually left behind in Sicily. The Middle Eastern is usually higher but represents an excess of ancient ancestry that all Europeans have (early farmers were from the Middle East, and more settled in southern Europe than in northern Europe). The East Asian and East Indian are weird. Never seen that before in any studies on Italians. If the percentages are significant, maybe it's some Gypsy heritage in your family? But if they're really low it could just be noise.
Links:
http://italianthro.altervista.org/sicilians.html
http://italianthro.altervista.org/italians.html