Read the book. It's cheap and enlightening. After you read it, then refute it. I had always thought Sinai, which is a name of more recent provenance, couldn't be right because the Bible puts the Holy Mountain in Midian which is located in the Bible on the other side of the Red Sea. The designation of the mountain at the tip of the Sainai Peninsula was designated as Moses's Holy Mountain by a seer (that's a medium) in the 16th century. From that "revelation" came the construction of St Catherine's Monastery ther.
St Catherine's has been there since the 6th Century (Byzantine times), and has been called the site of the Burning Bush / Mt Sinai since at least the 4th century.