Jefe Bergenstein
Legend
It looks OK, but any rule that takes up that much space to explain is not a good 5e rule.
So much this. My eyes glazed over while reading all the tables.
My suggestion. On a hit, spend and roll a superiority die and add your strength modifier. If the total is equal to or greater than the weapon type's maximum damage from its die type (so 8 for a longsword, 10 for a halberd, 12 for a 2 handed sword) you sunder the weapon. Magic and adamantine weapons are considered to have double die type value (so a magic or adamantine scimitar needs a 12 or better).