And if anyone of the Mushrikûn (polytheists, idolaters, pagans, disbelievers in the Oneness of Allâh) seeks your protection, then grant him protection so that he may hear the Word of Allâh (the Qur'ân), and then escort him to where he can be secure
Do not travel with the Qur'an to the land of the enemy, lest it should fall to their hands.
This lends support to the fact that the Mushaf should not be given to the Kafirs (disbeliever/nonMuslim), for fear that they may misuse or play with it. However, it is permissible to teach them and recite the EverGlorious Qur'an to them and call them to accept it. If they embrace Islam, you may hand it to them. There is nothing wrong with giving them some books of Tafsir (explanation/exegesis of the meanings of the Qur'an), Hadith, or translations of the EverGlorious Qur'an, if there is hope that they may benefit from them.