The neoconservatives relied on a union with the religious fundamentalists and that seemed to come way after Strauss. Curtis, the writer of the documentary, declares that the fundamentalists really didn't get involved in politics or government until the 1980s. I grew up in North Carolina and find it hard to believe that this group of people were not involved until the 1980s. They may not have had an organized voice, but they were not first time voters when Reagan came on board.
Regardless of whether Curtis is right about naming two rather obscure people as the initiators of our current "Reign on Terror," he is right about the role of religion to justify war, jihad, killing, torture, and so many other evils. The structure of religion has been a terrible thing for much of mankind's history. The more extreme the religion or the believers, the worse the atrocities. This is irrespective of Islam, Christianity, or Judiasm. If you have God on your side all terrible things are possible.