If a trial I was on a jury for involved the CIA, I'd just find innocent. Evidence is easy to fabricate with the time and expertise and that's a major part of what they do. Digital evidence is the flimsest kind generally and the easiest to fake...
Basically, yeah, if you admit to the attorneys at the beginning (during "jury selection") that you'd do this, then yes, they'd use this to make sure you don't get on the jury, because you're obviously biased.
But if you lie or keep your mouth shut and get on the jury, and then during deliberations you bring this up only among other jury members that you don't believe anything the CIA says, I don't see how they can boot you from the jury at that point. Most likely, it would result in a mistrial due to hung jury.