Using specific examples, what are some of the different interpretations of Islam by Islamists and more moderate Muslims?
This question is asking me to explore the different interpretations of Islam, and it is in regards to the Sunni's, Shi'ites, and the Sufis.
Though the formation of different sects is forbidden by the Quran, it has become a reality over time. The largest are the Sunni sect and the Shia or Shiites with the Sufis being the smallest.
One of the major differences between the first two is that the Sunni's believe that Mohammed did not select any kind of successor to lead the faith after he disappeared. Shia muslims believe that his family was ordained to lead and so his descendants are looked to as the rulers of or interpreters of the faith and are considered authorities.
In terms of radical and moderate, you might look at the muslims that feel that jihaad includes the killing of infidels compared to those that interpret it differently that the struggle is not necessarily a violent one, but one of moral virtue and example.