Shutting down Gitmo is just another illusion when all the "inmates" are just transported to another facility. People around the world know that. Taking troops from Iraq and deploying them in Pakistan is another act that won't fool people.
I would like to get down to the bottom of 9/11, but questioning OBL wouldn't provide any answers in a naturally biased court. So yeah, perhaps it wouldn't make a difference if we just pulled the trigger.