Yet, of course, they are wrong. Obama is not a Muslim, all the time. Sure, he may have been a Muslim last week and once or twice last year, but not all the time, and certainly not consistently devout.
Barack Obama is a syncretist; one who is able to follow whatever philosophy is present in the room because syncretism is the conflation of all of the world's philosophies into one.
He has claimed to be a Christian. He has sided with the Muslims and actually said on many occasions that he is a Muslim, and he credited Gandhi, a Hindu, with his presidency. He was endorsed by a major Buddhist group and even his insiders are saying he's an atheist. Barack Obama is a syncretist. He is all... and he is none.