The scar in the middle of NY is a humiliation of your nation's failures to stop it, and a reminder to be more careful. However, it is a victory monument to the extremists. I'm not going to call out muslims in general. Here, we live in peace. Every religion (even our own) has extremists. However, this is a testament to their success, and by building something even more majastic and iconic on it, you folks would essentially be healing and saying they can't lord over you and make you live in fear anymore.
Also, burning a book will only work if you burn all or the majority of korans in the world, stop them from printing new ones, and pull the plug on the internet (NOOOOEEESSS IT IS NOT A SUGGESTION leave dah internets alone). And keep the pressure up for several generations. Then maybe you can wipe out half of them. Besides that being genocide and highly immoral, it wouldn't work.
Even with the extreme persecution in the past, one thing that never changes is motivated people who are prepared to risk their life for a cause. Not by dying gloriously for it by going into the open and getting shot proclaiming their faith, but by underground communities, such as the Church in China had been for many years. You can't stamp beliefs out if there are people in the world motivated to stick by it.
Yes, you can make life VERY HARD for a specific group of people. But you can't eradicate their beliefs completely.
On this scale, a few people burning several books, is just going to trigger retaliation and worldwide anger. Or people may be smart enough to just let it slide and not get worked up over nothing. But extremists ain't smart people innit?
TL;DR Its a symbol of remembrance to you, but a victory monument to them. Wipe that smile off their face and throw them a good ol fashioned nuke. Burn them out of their caves and whereever it is terrorists meet.