According to Link 2 the significance of the circle within a circle to Muslims is that the outer circle represents Islam and the inner circle represents the earth. In other words, the outer circle represents Islamic domination of the planet.
As Link 2 shows, the circle within a circle symbolism has been used by various Muslim groups over the years. Americans might not recognize what it symbolizes, but those Muslim groups would. Similar comments can be made about the image in post 62.
Are the Islamic aspects of these Obama images inadvertent? Perhaps, perhaps not. Inappropriate? Yes.