Is Allah the same God of the Christians and Jews?

Yes; Allah is God the Creator, the same God of the Christians and Jews. Allah is just the Arabic word for God and does not symbolize a different god. So, when the Christians and Jews that speak Arabic call on God, they say “Allah”. There are Muslim leaders who refuse to use the name God, and this certainly can cause an illusion that “Allah” is an entirely different deity. Their insistence is a mistake, since we are encouraged in the Quran to, “Call Him GOD, or call Him the Most Gracious; whichever name you use, to Him belongs the best names.