That is a dangerous precedent to remove. Certainly we don't want to replace judges and juries with Twitter polls.

Sure, but if the precedent isn’t generating justice, then it’s worth considering alternatives. There is no holy scripture which says proof beyond a reasonable doubt is the correct way to run a justice system.

If you can't prove they are guilty, how do you know it isn't generating justice?

If not here where would you rather draw the line? Incarcerate 1 more innocents s that 1 more guilty makes it into jail?

We could have a more likely than not standard of 51% chance like civil law, and 49% of inmates are innocent.

Would you personally really want to send someone to prison if you had reasonable doubts of their guilt?