Do the Christians And Muslims Worship the Same God?

The straight answer is no.

Quran 9:29] Fight against such of those who have been given the Scripture as believe not in Allah nor the Last Day, and forbid not that which Allah hath forbidden by His messenger, and follow not the Religion of Truth, until they pay the tribute readily, being brought low.

The people who have been given the Scripture before the coming of Muhammad were the Jews and Christians. The Quran says these people did not believe in Allah. But they believed in a God who was not Allah.. Who was the God they believed? Yahweh. It means Yahweh that they believed was not Muslims' Allah. Besides, if the Jews and Christians worship the same God with the Muslims, why would Allah (Quran) command that Muslims should fight them?

In the following Qur'anic verses, Allah told Muhammad to tell the Jews and Christians that what the Muslims worship is not their God.

Quran109:1] Say: O disbelievers! (The Jews and Christians who didn't believe in Allah).
Quran 109:2] I worship not that which ye worship;
Quran 109:3] Nor worship ye that which I worship.
Quran109:4] And I shall not worship that which ye worship.
Quran109:5] Nor will ye worship that which I worship.
Quran 109:6] Unto you your religion, and unto me my religion.

Since Allah is not the God of the Jews and Christians, who we knew as the true God from the ages past, who is he?