People who are convinced that Obama is secretly a "black Muslim" or promote that idea are usually the same people who are scared by the possibility of a such a person being in the Whitehouse. So her believing he is a black Muslim (presumably due to the anti-Obama propaganda) and yet not being bothered in the least by it is "ironic". Don't agree?
That is 100% ironic, if you are using the Alanis Morisette definition of irony, which, ironically, contains 0% irony.
^Because this subject confuses the hell outta me...: http://dictionary.reference.com/browse/Socratic+irony