Christians believe in Jesus as the Messiah that the Jews are still waiting for. They both believe in Jehovah, the one true God. There is a separation from the "The Law", the instructions given by Moses. The Jews still adhere to the Law, and Christians belive in the new covenant through Jesus Christ, which is that Jesus is the sacrifice for our sins. That we are no longer bound by the law, because Jesus is the eternal sacrifice. That is not to say that the Law has lost all of it's value. It is the strict restrictions that bind you to the Law that have been cast off. It is a set of directions for right living, but the leagalism behind it is not binding for followers of Christ.
The Abrahamic religions, including Judaism and Christianity, recognize The nation of Israel as the chosen people of God. Followers of Christ recognize and believe that, and have been grafted in to the family of God even though they are not Jewish, and have now (according to them) been called his chosen as well. Judaism and Christianity are tied together by the claim that there is one true God, and to worship any other is to deny Him. Jews believe that The Messiah is coming; Christians explain that The Messiah has come and is coming again.
At first, Christians would have been thought of as Jews. After the split between Christianity and Judaism, late in the first century, Christians were thought of as atheists.
No, Christians do not reject Jews. However, Jews reject Christians.
Jews like Paul persecuted the christians.
Nope, because there were no Christians. Nephi and his father Lehi lead two Israelite (Jewish) families to the promised land. "Christians" technically didn't exist until Jesus Christ began his ministry, when the Jews were split between those who believed Jesus was the Messiah (these became Christians) and those who did not (these remained Jews).
Christians believe that the Messiah Has Come. Jews believe that He Has not.
Christians believe Jesus is the messiah, Jews don't.
Jews are not Christians. Christians believe that Jesus of Nazareth was the Messiah. Jews (and remember- Jesus was a Jew himself) believe that the Messiah has not yet come.
They had the power to persecute Jews and Christians if they had wanted to
they split because they had different opinion
True Christians do not hate Jews. Nominal Christians may hate them because they are a different religion.
There is no prohibition on including Christians in a Hanukkah celebration, but most Jews will not go out of their way to invite Christians to join them.
Ethnically Jewish people who are Christians or Messianic Jews. It is worth noting that most Jews consider Messianic Jews to be Christians.