Actually the Old Testament is filled with references to burning the sacred items of idolators. The Muslims treat the Koran as a sacred object and not merely as a book. Hence it would be in the same category as an idol. If the Muslims treated it as nothing more than a book, then burning it would not invoke such a visceral response. It is their idol.
FWIW the Christian Church has a loooooooooooooong tradition and history of burning books it didn't like.
The Old Testament is also filled with references to killing women, children and animals, and taking the goods in areas that were occupied by idolators. Do you support that as well?
You probably know I'm a Protestant, but the history of the Church on both sides of the denominational divide isn't necessarily a good gauge for how we should behave today. Christians have done many un-Christlike things in His Name because Christians are sinners saved by grace, and flawed people.
Burning books, burning people in effigy, burning crosses in people's yards........none of these actions is, IMHO, the right thing to do, Christian 'history' or not.....