here. This seems to me a splendid notion. Had Shakespeare been fact-checked, Prospero wouldn't have been smuggled, under cover of darkness, down to the docks in Milan; Perdita wouldn't have been abandoned on the coasts of land-locked Bohemia; and Cleopatra wouldn't have talked of being hanged from the pyramids.
Moreover, had a proper proof-reader been set the task of going over The Love Song of J. Alfred Prufrock, the first line might have been the grammatically correct:
Let us go then, you and me,
Not strictly accurate