I used to think that the Islamic crescent was a stylized moon, but it looks more like a solar eclipse, specifically an annular type. That is, the sun is the crescent and the moon is the off-center circle, the dead space. Symbolically that would be congruent with Islam, which is hell-bent on casting the earth into darkness.
In that respect the target area of the new logo would be the sun, zotted/blotted by a red river of jihad blood encircling the moon.
Joel 3.4 (2:31) The sun shall be turned into darkness, and the moon into blood, before the great and the awesome day of the Lord come:
annular
"ring-shaped," 1570s, from L. annularis, from annulus, dim. of anus "ring" (see anus). An annular eclipse (1727) is one in which the dark body of the moon is smaller than the disk of the sun, so that at the height of it the sun appears as a ring of light.
