Is it permissible to publish Maurice Bucaille's book "The Qur'an, the Torah, and the Gospels (A Study in the Light of Modern Science)" in the West, with the addition of Mufti Hassan Khaled's Islamic notes on its English translation?

It is not permissible to publish authors' books without their permission, as this constitutes an infringement on copyright and intellectual property rights. It is a condition to seek permission from the owner of the translation you intend to rely on for publication. If permission is granted and the book does not contain anything that contradicts the truth, then there is no objection to publishing it. There is also no objection to adding quoted comments, provided accuracy in transmission and attribution to the source are maintained. Since the author of the book is not Muslim and its subject is the Book of Allah, it must be presented to people of knowledge before publication, to ascertain the soundness of its content.