I'd be very wary of taking any sort of conclusion on that case based on a few hours at most (once you take out the first case and editing) of evidence being discussed when in reality the trial lasted, I think, weeks.
ETA: I'd be particularly wary of the above given that both his, exceptionally intelligent lawyers gave no assertion of him being innocent.
I've also seen this show being used as a stick to beat America with. While I can agree that it's a far better depiction of what America is really like than 99% of shows on TV, in any court of law that uses your peers the fundamental flaw in it is that those peers can be dimwits, disinterested, stubborn, biased and a whole load of other things that can leave any accessed person hoping for luck. That's not exclusive to America in spite of the litany of immortal people I wanted to pummel with fists.