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While I might not always agree with the way they say and do things, I have never found a situation where they misquoted or took the quran out of context. (Contrary to what many groups will claim regarding their statements.)
However, if you look at some of their earlier videos you will see that they made some mistakes. Don't get me wrong they were not factual mistakes. But rather inexperience mistakes especially with some of their discussions and debates. Basically the same thing most of us have done. We make a very obvious very accurate statements but overlook closing the response 'holes' or not making the statement(s) clear enough for an audience with no knowledge of the topic. At which point most of us have been ripped apart, if one has ever done a debate about most any topic.
As far as their facts about islam always double check what they or anyone else says. however I have always found acts17 statements and references to be very solid and accurate.