The Western Wall (often incorrectly named the Wailing Wall) is the holiest site in the world for Jews because of its proximity to where the Holy of Holies, the most sacred spot in Second Great Temple, used to be. It is not a holy site in Christianity or Islam.
The Second Great Temple (as built by Prophets Ezra and Nehemiah and improved by King Herod) had a large esplanade or plaza. However, as Jerusalem is hilly, the northeastern corner was at a higher elevation than the southwest corner. As a result, retaining walls for the esplanade were built on the western and southern sides of the esplanade to keep it level. The Western Wall is the portion of the western retaining wall that is the closest area to where the Holy of Holies sat on the esplanade.
The Western Wall is often incorrectly stated or oversimplified to be a part of the Second Temple. The Second Temple was completely destroyed by the Roman General Titus when he conquered the city in 70 C.E. As said above, the Western Wall is part of the esplanade itself (i.e. the retaining wall) as opposed to the Second Temple building individually.
For Jews:
All three agree Moses was a prophet.
Since the Muslims believe that Jews and Christians were "People of the book", they received special treatment.
Jerusalem is considered holy by Muslims, Jews, and Christians.
They had the power to persecute Jews and Christians if they had wanted to
Jews, Christians and Muslims were in the Crusades.
Jews, Christians and Muslims were in the Crusades.
Muslims believe that Jews and Christians corrupted the Scriptures given to them with the purpose of strengthening their power.
Jerusalem is important to Jews because it is their Holy Land and ancestral home. To Christians it is the place of Jesus' resurrection. To Muslims it is important because it is the birthplace of some of their prophets, most of which are also revered by Christians and Jews.
Muslims do not encourage their children not to like Christians. Christians and Jews are people of the book as mentioned in the Quran and the people closer to Muslims are Christians as mentioned in the Quran. Muslims are allowed to marry Christians and Jews as they are people of the book. It is therefore a misconception on your part to think that Muslims are encouraged not to like Christians!
Yes, same God for also Christians and Jews.
Jews, Muslims, and Christians
Muslims describe Jews and Christians as "People of the Book".