Before we get into the details, keep this in mind: this movie -- which is about a space terrorist being used as an excuse to further a secret space military agenda (in space) -- was co-written by Roberto Orci, who's espoused Truther sentiments on Twitter, the official platform for legitimate political debate, as well as on Star Trek message boards, the second-most-official platform for legitimate political debate. How these conspiracy theory ramblings managed to manifest themselves as a Star Trek motion picture and not just a convoluted blog post, well ... that's the magic of Hollywood. Did we mention that in the credits, the film was dedicated to "Post-9/11 Veterans?" A nice sentiment, but a little out of left field, right?
Now look at the plot: after Khan attacks a meeting of Starfleet big shots in a conspicuously Pentagon-like location, he transports to the Klingon home world faster than anyone can say, "Hey, that guy looks way too white to be named Khan." Kirk is ordered by Admiral Guy Who Played RoboCop to pursue Khan with an armament of 72 experimental torpedoes, but Kirk eventually learns the truth: Admiral RoboCop had been forcing Khan to develop weapons to secretly give Starfleet a military overhaul and jumpstart a war with the Klingons, which he considered inevitable. That's basically the Truther narrative: that bin Laden was nothing but a patsy used by American warmongers to justify the Middle East invasion they wanted anyway.
It's not like there were already dozens of previous terrorist attacks that could have been used as a flimsy pretext to invade.