IMO A just nation who wanted to live out those^^ values would limit the rights of police (who are not judge or jury), and do the following:
1. Anything said before a lawyer is present is inadmissable
2. The officer's word is not considered superior to the defendent's
3. There are strictly enforced rights police must uphold until you're proven guilty. This includes basic comfort (think food, water, temperature regulation, sleep, access to daylight, contact with support people/friends/family)
4. You have a right to know exactly where you're fitting into an investigation, if you're the subject or a witness (and your role cannot change or if it does then all prior investigation is inadmissable evidence)
5. Police are not allowed to lie, or otherwise be deceptive
6. Police are liable for negative impacts they cause, including loss of work, loss of opportunity, disruptions of family etc. Acquittal should begin the process of recompense for losses.
I think in attempts to be "tough on crime" or "back the blue" America has lost it's sense of right and wrong / morality.