Often Islamic advocacy groups have a hard time denouncing specific Jihadist organizations. CAIR has refused to condemn any terrorist organization (other than al-Qaeda) by name. For example, they have never condemned the actions of Hamas or Hezbollah. When pressed by reporters they often give a generalized response such as: "Islam condemns the murder of innocents in all circumstances."
The recent Muslim convert who shot an army recruit to death in Arkansas confirms that CAIR and others are not lying when they say they condemn the murder of "innocents." They just have a different definition of "innocent."
"I don't think it was murder, because murder is when a person kills another person without justified reason... and what I did is Islamic justified and also justified by common sense..."
- Abdulhakim Mujahid Muhammad, Arkansas Jihadist