You've just underlined the fundamental flaw in jury based justice systems. How can anyone expect a "jury of your peers" to understand the legal nuances of a complicated civil or criminal court case to render an informed verdict? It's the reason the guilty get off and the innocent get the chair. OJ comes to mind.
Face it, your avg juror is simply not qualified to deliberate a court case and your avg LNer is not qualified to assess what constitutes a preponderance of evidence that Oswald was a lone nut assassin. Otherwise, cite 1 piece of evidence that convinces you that Oswald was a lone nut and not a patsy. We don't need a preponderance, just 1 will do.
From the CT POV: Oswald was a crappy shot with a crappy rifle and ammo. Do I have that right so far?
If so, I'd ask how would any framers would go about convincing anyone that he was believable as killer.