Still, logically, they all believe in the same God, If people believe in One god- One creator. The One god can not be different.
God therefore affirms that Muslims, Jews, and Christians are all religionists of the same god in the verse below. God thus refers to them as Ahle Kitab, or the People of the Book, the Book that God transferred ” Don't argue with the people of the Book( Jews, Christians) except in the nicest possible manner- unless they transgress and say," We believe in what was revealed to us and in what was revealed to you, and our god and your god is one and the same; to Him we're submitters."( Al Quran# 2946)
God further says “ Abraham was neither a Jew nor a Christian, but he was a candidate( after Truth), a muslim; he was no associates of others with God. ”( Al Quran# 367, restatement-T.B. Irving) - therefore, Jews, Christians, and Muslims all worship the same god, the god of Prophet Abraham, peace be upon him. Prophet Abraham was a muslim, which implies that, he submitted to One god, according to the Quran. Also, why do these monotheistic persuasions appear to be so different?
Obviously, it's because of the scholars'" interpretation," much as every side within a religion does, as is the case with Muslims who exercise Shia, Sunni, Ahmedi, Bohri, Ismaili,Baha'i,etc., while they claim that they all believe in One god, one Quran, and one Prophet. It should be recalled that God periodically transferred Prophets to convert errant Religionists to return to the religion of Prophet Abraham.
Then are the verses to reflect “ Say," Allah has told the verity. So follow the religion of Abraham, inclining toward verity; and he wasn't of the polytheists."( Al Quran# 395)
“ And subsequently We inspired thee( Muhammad, saying) Follow the religion of Abraham, as one by nature upright. He wasn't of the heathens . ”( Al Quran# 16123)
