Islam and Christianity are both monotheistic religions, which means that they both believe in one God. The name of the god of Islam is Allah, and the God of Christianity has revealed Himself as “I AM.” Christianity believes that I AM is the unique, all-powerful, and all-knowing God. They assert that He created the world and is responsible for sustaining it. Moreover, they believe Him to be uniquely worthy of worship. Islam shares these same beliefs about Allah. 
In order to determine whether or not Allah is the same as I AM, it is important to consider a variety of factors. First, we must direct our attention to the sources they claim to be their authoritative revelations. Next, we need to look at what Muslims believe about the nature of Allah and what Christians believe about the nature of I AM. Then, we must discuss the manner through which Allah and I AM claim to bring salvation to their people. Finally, we will analyze the eternal realm according to each of them.
Divine Revelation
For Muslims, the Quran is the revealed and authoritative “revelation from Allah” (7:3). It is free of doubt (2:2), protected by Allah (15:9), and unchangeable (6:115). It further claims to be free of contradictions (4:82), contain the explanation for everything (16:89), and is the solution for resolving all human conflict (16:64). The Quran also teaches that the Bible has deviated from truth and been corrupted (2:79, 5:13-14). Thus, the only reliable source for knowing God is the Quran.
For Christians, the Bible is the revealed and authoritative “Word of God” (Hebrews 4:12). The Bible is the source of instruction and guidance for believers (Psalm 119:105), and it “judges the thoughts and attitudes of the heart” (Hebrews 4:12). It endures forever (1 Peter 1:25), is tested (Proverbs 30:5), and is true (John 17:17). The Bible warns against adding to or taking away from its message (Deuteronomy 4:2, Revelation 22:18-19). Thus, it is the only reliable source for knowing God.
The Nature of Allah According to Islam and I AM According to Christianity
Perhaps the easiest way to detect the differences between Allah and I AM is to study the nature of Allah according to the Quran versus the nature of I AM according to the Bible. In Surah 112:1-4, we see that Allah is “the One…Eternal and Absolute. None is born of Him, He is unborn. There is none like unto Him.” Surah An-Nisa 171 warns against thinking of Allah as a triune god: “And do not say, ‘Three’; desist – it is better for you. Indeed, Allah is but one God. Exalted is He above having a son.” The god of Islam is Allah alone. Jesus is merely considered a prophet (Q2:136).
But the God of Christianity is triune. He is one God in three Persons – the Father, the Son, and the Holy Spirit. Deuteronomy 6:4 explains that “the Lord is our God, the Lord is one!” Second Corinthians 13:14 speaks of all three Persons, and Colossians 2:9 explicitly says that “in Christ all the fullness of the Deity lives in bodily form.” Jesus says that He is one with the Father (John 10:30). The Father is everything that it means to be God. The Son is everything that it means to be God. And the Spirit is everything that it means to be God. Each of the three Persons share in the same divine nature, but have different roles.
Salvation According to Allah and to I AM
The Quran teaches that everyone is innocent when they are born into this world, but they are capable of living the perfect life that Allah requires. They only need instruction. Allah himself has revealed this instruction through the Quran, and those who adhere to his instruction have a chance at salvation. Allah will one day judge every person for their lives, and he alone knows who will get into Jannah (heaven). Ultimately, Islam teaches salvation by works, and no one knows for sure that they have secured salvation until the judgment day.
The Bible teaches that everyone is born into this world a sinner and that no one is able to live according to the perfect standard of I AM. But I AM loved His people so much that He sent His Son to take on human flesh and live the life that they could not live. He became the perfect and unique Mediator between God and humanity. He grants His righteousness to those who believe in Him as the Way to the Father. Jesus, the divine Man, is the only path to salvation.
Eternity According to Allah and to I AM
According to Islam, Allah grants Jannah (heaven) to those who obey his instructions and Jahannam (hell) to those who don’t. Jannah is the fulfillment of every pleasure with purified spouses (Q2:25), eternal bliss (13:23-24), and fulfilled desires (36:56-57). Those who are in Jannah have every wish granted as well as everlasting entertainment from Allah himself (41:31-32). Jahannam is a place of fire (3:192), “boiling fetid water” (14:16), and deadly fruit (37:62-68). 
According to Christianity, I AM grants heaven to those who have believed in Jesus and hell to those who have not. Heaven is a place of perfect sinlessness and everlasting hope. Those who are in heaven enjoy God’s glorious presence for all of eternity as they worship Him forever (Revelation 7:15-17, Hebrews 12:22-23). Hell is an eternal fire with weeping and gnashing of teeth (Matthew 13:42). It is eternal condemnation, everlasting separation from God, and never-ending suffering (John 3:16-18, 2 Thessalonians 1:9).
Conclusion
After a quick study into each of these elemental and essential aspects of both Allah and I AM, it becomes abundantly clear that they are not the same. They contradict each other and claim to accomplish two very different things. God cannot be both triune and not triune. He cannot save both through Jesus apart from works and apart from Jesus through works. And He cannot simultaneously grant two opposing versions of eternity. Muslims and Christians do not believe in the same God.