The Dome of the Rock sits on the Temple Mount, which is holy to Jews and Muslims. This general location is one of the principle reasons that Jews and Muslims want the Israeli or Arab governments respectively to control that territory.
There is no such thing as "outgoing conflict". If perhaps you meant "ongoing conflict" please see the Related Question below.
There are numerous conflicts in the Middle East. All of them started at different times for different reasons. Sometimes it is clear who fired the first shot; other times both sides vehemently claim that the other side shot first. If by "the Middle East Conflict" you are referring to the Israeli-Palestinian Conflict, the Iran-Iraq Conflict, the Turko-Cypriot Conflict, the Kurdish Conflicts, the Yemeni Civil Wars, the Syrian Civil War, etc. please resubmit your question or choose one of the Related Questions below.
Sunni Islam and Shiite Islam cause a lot of conflict in the Middle East.
There are so many different political groups with absolute opinions that conflict in the Middle East will never be resolved.
terrorism
true
The Suez Canal has always caused conflict.
Not until Islamo-Arab imperialism is defeated. Islamo-Arab imperialism is what drives Middle East conflict.
The crucible of conflict in the middle east is based on ethnic differences. Groups strongly believe that their religion and culture is native to the area and gives them power over the land.
There is a list somewhere that has thousands of names for that.
turkey
Religion is just one of the causes.