And, considering that Barack Obama is 1/8 black and 3/8 Arab, that means he has more Semetic background than black. So, if Obama is anti-semetic, does that mean he doesn't like himself?
Especially strange, since the Hebrew form of the name Barack is Baruch.
A word is usually defined by its intended use and common understanding of what the word means. What the word anti-semite means is “hostility or prejudice against Jews”. You will find it a common practice on the Internet that those who try and twist the meaning of the word “anti-semitic” harbor a hatred of Jews and so play the game of “what does the word really mean?”. It means what any dictionary will tell you.
"While the term's etymology might suggest that antisemitism is directed against all Semitic peoples, the term was coined in the late 19th century in Germany as a more scientific-sounding term for Judenhass ("Jew-hatred"),and that has been its normal use since then."