Note 433-14 — Scene III.—Another part of the Island.
Reading edition
Instead of That hath to instrument, we might read That has control of. The whole sentence means: “You are three sinful men whom Destiny, that rules this lower world and what is in it, has caused the never-surfeited sea to throw on shore; yes, and on this island which man does not inhabit; you who are among men the most unfit to live.”