"Palestinian" is usually used to refer to the Arab former inhabitants of the British Mandate of Palestine and their descendants regardless of whether they live in those borders or not. Jews, Bedouins, Circassians and Druze Arabs who live or whose ancestors lived in that territory are not considered Palestinians.
It began with the religious conflicts where Palestinians were not ready for peace.
Jews and Palestinians.
This is incorrect. The English and Americans are not in conflict with "Israeli-Palestinians" (which is a meaningless term, just like French-Britons would be). As a result
The West Bank
no and it never will be.
Arabs, specifically Palestinians.
There is no conflict between the Palestinians and Hellenists because the Hellenists (as a movement) occurred around the 300s to 100s BCE and the Palestinians only really developed as an ethnic group by the 1200s CE.
Conflict with Arab nations and Palestinians
It depends what you mean by "Palestine". If you are referring exclusively to the Palestinian Territories, there are abuses by Muslim Palestinians of Christian Palestinians and the defacing of their holy sites and monuments. Additionally, there is a conflict between Jewish Israeli Settlers and Israeli Soldiers and Palestinians (both Muslim and Christian). If you are using "Palestine" as a shorthand for "Israel and Palestine", then the religions in the conflict are Judaism, Christianity, and Islam. However, those religions are not at conflict. The Israeli-Palestinian Conflict is a ethnic/nationalist conflict where religions are used as ethnic identifiers (similar to the 1990s in Yugoslavia). It is not a theological conflict.
The conflict between Israel and the Palestinians destabilizes the region and results in increased militarization among nations.
The crisis in Sudan, the current situation in Zimbabwe, the plight of minorities in China, Palestinians in Israel, the ongoing conflict between Christians and Muslims in Lebanon, Serbs in Kosovo, the ongoing conflict between Republican Catholics and Loyalist Protestants in Northern Ireland...
Well, first of all, the people we call Palestinians today were not called Palestinians when the conflict first started. They were just known as indigenous Arabs. They began to use the name Palestinians after 1967. The conflict began with increased Jewish immigration to the region in the early 1920's, but war actually started the day Israel was declared an independent Nation, on May 14, 1947.