The name of God in the Hebrew Bible has four letters: Yud Hey Vav Hey: יהוה. There is no accurate transliteration into English. Every other Hebrew word is built upon a root of three letters. This is the only word that is a four-letter prime root. It is quite unusual and quite specific.
This Name of God appears more than 7,000 times in the Hebrew Bible. In contrast, it never appears in the Qur'an of Islam, or in the Christian testament.
The word 'Elohim' is translated as 'gods' in English and refers to the non-human species of beings. There are "myriads upon myriads" of Elohim (Daniel 7:10) and the God of Israel is the leader of a great army of Elohim, which is why He often refers to Himself as 'God of hosts' – the word 'hosts' means 'army.' The word 'Elohei' is the singular: " יהוה appeared to him the same night and said, 'I am the God (Elohei) of your father Abraham.'" (Genesis 26:24) In the Bible, יהוה repeatedly commands that He is the only One to be worshiped – forever.
In the Qur'an, Muhammad introduced the god of his religion as 'Allah.' When Muhammad was born in Mecca in Arabia (circa 570 CE), more than 360 gods were worshiped at the Kaaba, a pagan shrine which housed idols. Each family had its own patron god and the god of Muhammad's family was 'Allah.' His father's name was Abd-allah (servant of Allah). Allah was the pagan moon god whose symbol was the crescent moon.
Unlike the Biblical prophets and kings, Muhammad was illiterate and his words were transcribed by others. Because he could neither read nor write, he learned what little he knew about Christianity from Greeks living in Arabia and he learned a little about the Bible from Jews. It is obvious from the Qur'an that he really didn't know much about either religion and many points were remembered incorrectly.
When he conquered Mecca with his army, he removed the idols from the Kaaba and commanded that only his family god, Allah, was to be worshiped. However, he retained many of the pagan rituals, such as circling the Kaaba seven times, kissing the black meteorite stone, throwing stones at a devil god and the use of the crescent moon symbol. Unlike Abraham who worshiped in Jerusalem, Muhammad commanded that his god be worshiped in Mecca and that prayers were to be said in the direction of Mecca, even if that meant turning one's backside to Jerusalem.
Not the name, the customs, the commandments nor the place of Muhammad's god are the same as the God of Israel. Not even close.