"Shakespeare and his contemporaries believed in the divine right of kings and the Great Chain of Being"
Are you sure Shakespeare believed that ?- he had a strange way of showing it !
Murderous, humped-backed child-killing English Monarchs systematically killing of the opposition, mythical ones disinheriting family because he thought they did't love him enough, Scottish nobles slaughtering their way to the top egged on by a conniving delusional consort, Kings who were wimpish leaders refusing to act on the barons getting above their station.. hardly god-made material
The Wars of the Roses saga was a magnificent web of incompetence, brutality and mass murder and corruption by God's chosen people
Even the patriotic Henry V is depicted (correctly) as a brutal slaughterer of prisoners   
Even Will's contemporaries laid a somewhat jaundiced eye on God's chosen - his mate Kit had one them dying by a carefully applied red-hot poker to his bum
I think it is somewhat simplistic to paint your picture of the playwrights, even if there is a grain of truth in what you say
They were people of their time yes, but they stll managed to cut their 'betters' down to size when they wanted to   
I believe Shakespeare and his mates dealt with Royalty and nobility in the same way as the Folktales did with their Kings, Queens and nobles.. as flawed and often very, very nasty human beings
It is no coincidence that Shakespeare drew heavily from contemporary folklore - if you haven't, you should dip into the 500 pages-worth of Folklore of Shakespeare (Rev, T S Thisleton Dyer - 1883)
I have long believed that Shakespeare was much nearer the people that he was the nobs - he was a right son-of-a-glove-maker when he put his mind to it   
That he sucked up to them upstairs is understandable -after all - a man's gotta live (and keep his insides inside at a time when hanging, drawing and quartering was all in fashion)
Don't know what Mr Berlatskys take on Wonder Woman was, but I find his summing up of The Immortal Bard somewhat superficial, I'm afraid   
Jim