The Jews' mission is as it always has been -- to bring the world to ethical monotheism. Ethical monotheism means there is one God and therefore one moral standard that He has revealed, and He holds all humans accountable to it. This is the point of Jewish chosenness. God chose a people -- a particularly small undistinguished people (chosenness has never implied inherent superiority) -- to make the world aware of the God of ethical demands and moral judgment. Jews have never been required to bring the world to Judaism, but they were chosen to bring the world to God and to the values found in the Torah and the rest of the Old Testament.
Were Jews true to their mission, they would stand alongside Christians who work to bring the Torah's values to the world.
Jews should therefore be in the forefront of those spreading Judeo-Christian values. Some are, but most, religious and secular, are not.
The Jews are like the biblical Jonah, the Jew asked by God to carry a message to the great city of Nineveh. Jonah had no desire to embark on this mission and ran away onto a ship of decent non-Jewish sailors. God brought a terrible storm, and Jonah realized that the storm was caused by his running away from his divine mission. He was thrown overboard, and the seas calmed.
Most Jews are still running away from their divine mission and causing storms in many places as a result. Only by bringing the ethical monotheist message to mankind, and working with like-minded Christians to do so, will the world's seas ever calm down.