Islam is based upon the teachings of Muhammad. Supposedly, the story goes that he studied the Torah and the Bible, and Allah gave him the Qur'an to write down and start a new understanding of sacred Judeo-Christian scriptures.
Unfortunately, Muhhammad was illiterate, so who the true source of the Qur'an is, is anybody's guess.
A cursory comparison of Allah and God between the Bible and the Qur'an reveals that Allah is not the God of the Bible.