No, our (assuming US, but this applies universally to any modern civilized society) justice system is insufficiently fair. “Inherent unfairness” is part of the fundamental nature of the universe. The mere presence of such unfairness is absolutely irrelevant, as it exists in all things. The only measure that matters is the degree of fairness. Our justice system has serious issues, no doubt, but it offers a degree of fairness so astronomically higher than your head-in-the-clouds alternative that what you are suggesting doesn’t warrant anything but absolute ridicule.
What a bogus question. Our justice system does not make me “feel better in the moment” and that is not why I support it over your extremely naive and completely unworkable alternative.
I notice also that you’re trying to gloss over blunt criticism to maintain your world view.
Address blood fueds.
Address revenge based violence.
Address the historical reduction/elimination of the above by the implementation of centralized justice systems based explicitly on punishing wrongdoings.
Then address how your proposed alternative doesn’t facilitate more of these problems.