The main thing you're missing is that the official story of the "justice system" is a fairytale. Once you're in its sights, their literal day job is to make your life hell. They get paid to do this and go home at 5, while you pay for and live it.

Presently its damages are externalities paid for by a fucked-up reverse lottery that we're all playing, most blissfully unaware. A significant fix would be to make the state responsible for the entire cost of all defense, days spent in a cage or court, any bail fees, and emotional distress. Having to pay compensation for their "mistakes" would obviously further increase the scumbags' perverse incentive to obtain convictions/pleas. But you'd hope after they had paid out enough for persecuting frivolous cases, budgetary constraints would necessitate a bit of downsizing.