One argument you’ll hear from Muslims is that Christians burned their Bibles, and so, they can’t fault Muslims for the burning of the Qu’ran. This is a “you too” fallacy, and, like most fallacies, is based on misinformation.
The burning of the Bibles in the 1500s was not the Catholic Church burning Scriptures left and right but was the destruction of mistranslated Bibles. These Bibles were seriously flawed; they contained heresies and rewritten verses. So the Church, to protect her children from error and heresy, burned them. The Bible was already compiled by this time (the canon of the Scriptures had been defined c. 100 AD), so the Church was not - as some believe - destroying books in order to control what went into Scripture.