No. And neither Main Kampf should be banned, because if someones needs to do a historical research about Nazis, Ysh"w, that book might be neccessary.
Now, regarding the Quran it's violent, but not all Muslim terrorists are that way because of it. Some cannot even read, so their hate indoctrination comes from their leaders who would likewise use anyother source to spread hate.
But they biggest problem is that if Quran is banned, there is always a danger that some leftist would want to ban the Bible also because the accounts of wars narrated in it.
What should, in fact, be banned is that forgery called the Protocols of Zion, because it tells lies and libels and claims to be written by Jews. It's a fake document, and it should not be allowed.