Last month, a poll showed that more than half of Republicans believed that "the statement "Barack Obama sympathizes with the goals of Islamic fundamentalists who want to impose Islamic law around the world," is either "definitely" or "probably" true.
In his recent interview with Rolling Stone, Obama mentions the imposition of Sharia in Afghanistan as one of the bad things that could happen if the U.S. withdrew:
Keep in mind that the decision I have to make is always, "If we're not doing this, then what does that mean? What are the consequences?" I don't know anybody who has examined the region who thinks that if we completely pulled out of Afghanistan, the Karzai regime collapsed, Kabul was overrun once again by the Taliban, and Sharia law was imposed throughout the country, that we would be safer, or the Afghan people would be better off, or Pakistan would be better off, or India would be better off, or that we would see a reduction in potential terrorist attacks around the world. You can't make that argument.
I don't think it necessarily follows that withdrawing or reducing the U.S. footprint in Afghanistan would make us less safe, but it doesn't sound to me like Obama is too enamored of Sharia. Of course, since the Sharia Tourettes crew is convinced Obama is still a secret Muslim, this stated antipathy toward fundamentalist Islam is but mere taqiyya.