The crescent shape in Obamas logo has the round part on top, just like a traditional crescent shaped mihrab (the Mecca direction indicator around which every mosque is built). The animation shows the two most famous mihrabs in the world: the mihrab from the Great Mosque in Cordoba, and the Prophets mihrab in Medina.
The lighter vertical column in the center-bottom of the logo, presumably meant to indicate reflected light, even conveys the full vertical shape of a traditional mihrab. The scimitar in the animation is from the flag of the Bosnian regiment of the Nazi SS.
If Obama himself had come up with this crescent logo, one might suspect Islamic intent, given his Islamic heritage. But the logo was not designed by Obama. It was designed by a Chicago based branding firm named Sender, which claims credit for coming up with: "a white sunrise against a blue sky, over a landscape implied by red and white stripes."
Obama definitely deserves to be made fun of for having a fairly obvious crescent shape in his logo, given his efforts to convince the public that he is not Muslim. This is already an uphill climb, when both his grandmother and his cousin are telling documented lies about their religion, claiming to be Christian in one venue while professing themselves Muslim in another. Lying about being Christian: its an Obama family tradition!
Still, there is no indication that the crescent and scimitar shapes in Obamas logo are intended to convey any Islamic meaning. A genuine coincidence apparently.
Blah blah blah. It never ends with this guy. You pointed out some very interesting things in your post. All just a coincidence? I don't know, but regardless of who designed it, you're post hits a home run as far as comparing his logo to muslim symbols.
Maybe instead of an "O" for a symbol, Obama should just use a giant "CC," standing for the "Coincidence Candidate."