Why does the question associate between crime and the holy Qur'aan?
The Qur'aan was sent as a mercy for people, as a guidance and light, to guide to truth and righteousness and the Straight Path.
No one can believe that any person with religion or any mercy in his heart would split a pregnant woman's belly and take the infant out then kill it; kill children one by one in front of their parents; smash heads with axes; or, burn the living. Only a criminal with a heart harder than a stone which has no mercy, does not know Allaah, and does not believe in the hereafter would do such acts. It is not even possible for a sane person to believe that such a person is a Muslim. This is a fact that can't be hidden even if the person is disguised in Muslim clothing and grows a beard. Furthermore, it is not possible to call the killing of unarmed innocent Muslim villagers Jihaad. A Muslim--even while in Jihaad to establish the word of Allaah and in battle with the armies which stand to stop the spread of the word of Allaah--is absolutely not permitted to mutilate the dead; nor to kill a child; nor to kill a woman unless she bears weapons; nor to burn anyone with fire.
For those who want to know what Islam is, they need to learn it from the Qur'aan and the Hadeeth (recorded sayings) of the Prophet , and not through the behavior of criminals and the suspicious.