Judaism
Christianity was originally a sect of Second Temple Judaism, but the two religions diverged in the first century. The differences between Christianity and Judaism originally centered on whether Jesus was the Jewish Messiah but eventually became irreconcilable. Major differences between the two faiths include the nature of the Messiah, of atonement and sin, the status of God's commandments to Israel, and perhaps most significantly of the nature of God himself. Due to these differences, Judaism traditionally regards Christianity as Shituf or worship of the God of Israel which is not monotheistic. Christianity has traditionally regarded Judaism as obsolete with the invention of Christianity and Jews as a people replaced by the Church, though a Christian belief in dual-covenant theology emerged as a phenomenon following Christian reflection on how their theology influenced the Nazi Holocaust.
Haredi Judaism
The chief political division among Haredim has been in their approach to the State of Israel. While ideologically non-Zionist, the United Torah Judaism alliance comprising Agudat Yisrael and Degel HaTorah (and the umbrella organizations World Agudath Israel and Agudath Israel of America) represent a moderate and pragmatic stance of cooperation with the State of Israel, and participation in the political system. UTJ has been a participant in numerous coalition governments, seeking to influence state and society in a more religious direction and maintain welfare and religious funding policies. Haredim who are more stridently anti-Zionist are under the umbrella of Edah HaChareidis, who reject participation in politics and state funding of its affiliated institutions, in contradistinction to Agudah-affiliated institutions. Neturei Karta is a very small activist organization of anti-Zionist Haredim, whose controversial activities have been strongly condemned, including by other anti-Zionist Haredim. Neither main political party has the support in numbers to elect a majority government, and so, they both rely on support from the Haredi parties.