Do people really think that Obama is a secret Muslim who is part of an inner circle of Arab leaders looking to overthrow the West? I really don't think anyone truly believes that,
You underestimate the stupidity and ignorance of a lot of people. Not only do people actually think he's a Muslim, they also think that it matters. I've had discussions with people like this. They really do believe it. They've been force fed this shit for years now purported as fact by "news" sources they trust. They also believe that Fox really is the only "fair and balanced" news source and the rest are liars. Or worse:
liberal.
"Science is interesting, and if you don't agree you can fuck off." -Dawkins