There is a big difference between "Innocent" and "not guilty", and there is a reason that courts return a "Not Guilty" verdict, and not an "innocent" one. Plenty of cases fall within a hair's width of "beyond a reasonable doubt", and I very much doubt you are going to be inviting most of the people falling in that category over to meet the family, after all they are innocent until proven guilty, and likely all around great people right?
Legal process fails plenty of times, saying that you are morally obligated to believe in its judgements is insane. The only obligations legal judgements place are upon the people being tried and the apparatus of the state, nothing else.