The islamic and christian view of adam is nearly the same.
The only difference is with respect to Jesus being the son of God or the Prophet of God and messiah
The quran:-
According to the Qur'an, God created Adam, the first human, out of clay and commanded the angels to bow to Adam. Satan refused out of pride and was banished from Jannah (Heaven).
In Heaven, Satan lured Adam and Eve into disobeying God by tasting from the forbidden tree. God, as a punishment, sends Adam and Eve to earth, arriving first at mountain peaks outside Mecca; Adam on Safa, and Eve on Marwa.
In this account, Adam repented for 40 days, at which point God forgave him,[8] rewarded him by sending down the Black Stone and teaching him the hajj. The Qur'an also describes the two sons of Adam and Eve, Cain and Abel.
The hadith:-
Abi Musa al Sha'arai narrated that Muhammad said: "Allah created Adam from a handful of dust taken from different lands, so the children of Adam have been created according to the composition of the land. Therefore from mankind we have white, red, black and yellow ones; we have good and evil, ease and sorrow, and what comes in between them."
Abu Hurairah narrated that the Prophet Muhammad said: "Allah created Adam from dust after He mixed the clay and left him for some time until it became sticky mud, after which Allah shaped him. After that Allah left him till it became like potter's clay. Iblis used to go past him saying 'You have been created for a great purpose.' After that Allah breathed His spirit into him. The first thing into which the spirit passed was his eye and then his nose. He sneezed. Allah said: "May your Lord have mercy upon you, O Adam! Go to those angels and see what they would say.' So Adam went and greeted them. they replied saying: "Peace be upon you and the mercy and blessings of Allah." Allah said: "O Adam! This is your greeting and that of your offspring.''
The islamic view of jesus:-
The Qur'an states that God sent the message through the angel Gabriel to Mary that God had honoured Mary among the women of all nations. The angel also told Mary that she will give birth to a holy son, named Jesus, who will be a great prophet, to whom God will give the Gospel. The angel further told Mary that Jesus will speak in infancy and maturity and will be a companion to the most righteous. When this news was given to Mary, she asked the angel how she can have a baby when no man has touched her. The reply of the angel to Mary was "When God wants to create a matter, he merely wills it and the things come into being".The Qur'an, therefore, states that Jesus was created from the act of God's will. The Qur'an compares this miraculous creation of Jesus with the creation of Adam where God created Adam by His act of will (kun-fa-yakun, meaning "Be and it is")
The above verses from the quran and the hadith describes adam and jesus and theier identity as a prophet. not by any means does quran or the hadith mentions Adam as the son of God or a Bigger Son of God. Both Adam and jesus both were merely a creation of God but it is worthy of noticing that we are too the creation of God what makes Adam and Jesus different is they being the prophet and as they were prophets they were blessed with miracles so as to make the masses curious about their miracles and the fact that such astonishing miracles can only be blessed by a God hence indirectly leading to God.
There fore God doesnt and would never sacrifice himself to himself because it is not The Gods way of doing things. God is the creator of All the universe in neither of his any creation he has displayed such an example in which he sacrificed himself to himself..
Conclusion:- Adam and Jesus are both the creation of God both are similar just their appearance and the conditions were different.
God is the one who knows the secrets of life and death , the world and the universe and everything in between them , he only mention us those secrets which can be understood by us.May God Guide us in the direction of truth Amen