I would say its too early to use the word "enshrined".
the post WWII analogy is correct - we allowed the emperor of Japan to remain in place, as a figurehead, in order to facilitate japanese reconstruction and a constitutional process there. we even went so far as to spare him from being tried for war crimes.
that said, this still could go very badly. if women's rights are eliminated, if mullahs and clerics start holding government positions of authority, we are in trouble.
Yes, but we totally wrote old Japanese ways out of their new constitution --- WE wrote their constitution. In Iraq, the Shi-ias are writing it, and they're doing exactly the opposite of what we did with the Japanese Constitution- they're putting the old religion into law.