Those without Taharah -- being technically clean -- are not allowed to enter the Qur'an. Pure and simple.
That is God's law.
Laa Yamassuhoo Illal Mutahharoon.
No one shall touch the Qur'an except the ones who have been thoroughly cleansed.
Implication: No one shall be allowed to get inside the sanctuary of the Qur'an except those who meet the condition of complete cleanliness.
Tat-heer is the word. It means being subjected to thorough purification.
In today's world -- and by most standards -- Muslims are the ones who meet that requirement. They undertake formal ablution, what Muslims may call "Ritual Ablution" -- (Washing Up and also Bathing as required) before they approach the Qur'an.
So, Muslims are the ones with the clearance and the wherewithal to get inside the Qur'an.
It is anyone's guess what they will do to or with the Qur'an once they are inside.
And here is something all of us must remember. And make no mistake about it: What anyone attempts to do to and with the Qur'an is exactly what the Qur'an will do to and with that person -- multiplied by infinity.
My hands are shaking at the enormity of this thought as I try to write it down.
(Dr. Pasha: Inspired by a comment by Dr. Firdaus)