The God of the Bible and the god of the Quran are not the same god.
Just because Allah means god in Arabic that does not mean they are one and the same person because they are not.
The name Allah means "god" but it is not a reference to the same God of the Bible i.e. the God of Abraham, Isaac, and Jacob.
The God of the Bible has a Son.
This is one major distinction between Allah the moon god and YWHW, the God of the Bible.
The god of the Quran (i.e. Allah) does not have a Son.
This is a conspicuous contradiction; the God of the Bible and the god of the Quran cannot be the same.
The God of the Bible exists as Father, Son, and Holy Spirit, what we call the Trinity.
The god of the Quran does not exist as a Trinity.
Based on these inescapable facts it is impossible for the God of Abraham, Isaac, and Jacob to be the same as the god of the Quran.