Since ‘society’ flat out isn’t going to do that, and it isn’t clear it could even afford to do so (or how), what do you propose to be the next most practical option?
I'm not sure one exists. You can't force a life form to care about others of its kind, so our potential will be limited by that nature.
Society never cares about the damage it inflicts until it's time to start talking about outcomes and results, usually after a mass killing or some other major meltdown that ends in murder.
99% of those would be avoided if mankind practiced what it preached.
Having pulled the string all the way down on a number of issues you’re identifying - your expected outcome is false.
While society can shift things around a bit, none of these underlying issues are actually ‘solvable’ without far more serious consequences.
Our current thinking and attempt at solving some of the current ‘justice’ issues for instances seems to be precipitating an even larger and more destructive evil.
The reason why you can’t force an organism to care about another of its kind, for instance, has a plausible evolutionary reason that it would be foolhardy to ignore. That others of another organisms kind have an incentive to take advantage of any sort of mechanism to capture the other organism and make it work against its interests.
Selfishness is the only viable defense against out of control selfishness.
Prior solutions create new problems and new pain, precipitating new attempts at solutions which create new problems and new pain, ad infinitum.