The government did lie about the specific motivation behind the terrorists, however.
Explain. Now.
Fail. The video only showed the views of a few select representatives and hardly discounts the one of many reasons why 9-11 occured. The main recruiting force and drive behind Muslim terrorist activities is a fusion of religious zealotry and revenge against the West. Hinged upon the religious zealotry is the destruction of all other religions until only Islam is left. The Jews in Israel are a constant reminder of everything these radicals hate - The Western influence in the Middle East, religions other than Islam, and an invasion of Muslim land & holy places. Any country that is friendly with Israel is instantly a target of these radicals - and the US only made it worse by being the pinnacle of everything they hate - THE Western Nation.
To regulate the cause of the 9-11 attacks to only our actions in support of Israel and nothing else is not only foolish, its just ignorant of the fact that everything major that has happened in history has a number of causes and effects - not just a singular "truth."
And quite frankly - the video just showed that some representatives of our government have a differing opinion, not that there is a conspiracy. Learn the difference.