Al Qaeda, arguably the most prolific terrorist organization in modern history, has no ties terrorism? I suppose the PLO is also a legitimate wing of the government too...?
Did you read "They have no connection to Al Qaeda,". Your posts assumes that this phrase is wrong but never says that it is or why. The whole point of what you are replying to is that AQI is not the same as AQ or even connected. (something I am not willing to accept to easily myself). You misread the most important part of the post you are replying to.