The King James Version (published 1611) and Shakespeare (active 1592-1610) were contemporary, so it’s quite natural they should sound similar.
“so it’s quite natural they should sound similar.”
Definitely, they have a similar syntax/grammar/pronunciation thing.
Obviously, though, their content is usually quite different. It is funny when intellectual elites start quoting Shakespeare as if it is the Bible.
Shakespeare did not quote from the King James Version of the bible, he quoted from the Geneva Bible. The Geneva Bible was also the bible that was used by the pilgrims, and was the most popular English translation well into the 1700’s.