The Jews do believe that they have a religious duty to go around killing non-Jews because that is exactly what their God wants them to do! This is the religion of the Jews - take a look:
Deuteronomy 20: 16 Whenever you capture towns in the land the Lord your God is giving you, be sure to kill all the people and animals.
Deuteronomy 7:16 When the Lord helps you defeat your enemies, you must destroy them without pity!
Deuteronomy 25:19 The Lord your God will help you capture the land, and he will give you peace. But when that day comes, you must wipe out Amalek so completely that no one will remember they ever lived.