I Believe the Latter. Barack Obama and His Ilk Believe the Former

I have taken it upon myself to answer Brian Lilley's second question:

A group called Islamic State says kill infidels in the name of Islam, to please Allah. Another group says there is no connection between Islam and terror and this week we have two Canadian soldiers dead at the hands of people who carried out their attacks in the name of Allah. 

So what to believe? Do you believe the people, including some of our politicians, who say there is no connection between these crimes, this violence and Islam, or do you believe the guys who run over soldiers or shoot them down and say they did it for their religion? 

It's the difference between describing jihad as jihad and calling it "workplace place violence" or some other mealy-mouthed euphemism.