Both religions suffer from their holy books and commentaries being mis-translated or falsely represented by their opponents. As the conflict in the Middle East ratchets up, let me remind you of three quotes.
Whoever destroys a soul, it is considered as if he destroyed an entire world. And whoever saves a life, it is considered as if he saved an entire world.
Mishnah Sanhedrin 4:9
Whosoever has spared the life of a soul, it is as though he has spared the life of all people. Whosoever has killed a soul, it is as though he has murdered all of mankind.
Qur'an 5:32
Finally the words of a Jew who is revered in Islam as a prophet.
Blessed are the peacemakers: for they shall be called the children of God.