Satire is supposed to make the subject look foolish.
The viewer or reader has to be able to know immediately WHO the subject is, who is being made to look foolish.
The cartoon DOES NOT CLEARLY MAKE THE POINT that the subject is those who believe such things about the Obamas. In the end, it has just made the New Yorker itself look foolish.

Now, if it had shown a puppeteer like Karl Rove behind cutouts of muslim dressed Obamas, THEN it would have been clear that the satire was directed at Republican campaign smear tactics. Karl Rove would have to be labeled with the name Karl Rove, as most people would not recognize his caricature. Again, I say it was a
FAIL!!!!