The Danger Within: Militant Islam in America .
Pipes documents that there are Islamists in the United States who have the same goal as the terrorists, but don't think a violent approach will work. Their strategy, as they themselves outline it, involves using multiculturalism and ACLU style civil liberties activism to give Muslims in the United States a special legal status, ultimately to maneuver the courts into allowing Muslims to live under sharia rather than the laws of the United States. Then through long-term immigration, grow the Muslim population and its political influence to the point that it can demand that more and more sharia law apply to non-Muslims.
Of course, not all US Muslims by a long shot share these aspirations. But this lawsuit sounds very much in line with the strategy Pipes describes. It would in essence involve sharia trumping the laws of Florida; it would to a certain degree require non-Muslims to observe sharia (DMV employees and cops would have to obey sharia at least in not demanding to see her face). Now look for the Islamist front groups, like CAIR, to jump into the fray.