We should not - it's a dangerous idea which gets people's lives destroyed. "Innocent until guilty" is an important concept which mob justice often forgets which causes a lot of damage.

Just because one system is broken, doesn't mean that we have to replace it with another broken one.

For the record, I disagree with mob justice! I just also disagree that cops can be relied on right now for sexual assault cases. Currently, there is no real fair place for sexual assault victims to reliably receive real justice, and that is a tragedy in of itself.