Let us suppose that an atheist (such as myself) were to announce that they were going to hold a public Bible burning. I don't think that all Christians would have an entirely peaceful response.
I probably wouldn't have to worry about suicide bombings, but maybe I would have to worry about a bombing.
Speaking as a Christian...
It’s a book. I can buy another at Wal-Mart.
More to your point, there are some people who would over react. My thought would be that they were not acting in obedience to God, which means their actions would be sin by our standards as there is no Biblical mandate for such action.
The difference being that any Christian who acted in violence to a Bible burning would likely be committing sin, while a Muslim who acted similarly would likely be considered obedient by the standards of their faith.