That's why America was founded as a republic. Rule of law, not rule of man.
However you call it, it is ultimately power (of man) that rules other men. Having to push it through the frictional and slow law process merely makes powerful men less powerful by the amount of the systemic friction. But the power gradients still exist and lead to the same consequences.
It merely prolongs a "i dont like him, behead him on the spot" into "i dont like him, make the state attorney accuse him of rape and murder, drag him through courts for 20 years and execute him". But the intimidating effect of power differences is the same. Rule of law is just the same ol rule of man cloaked into law.