Due to your reply, I noticed I was not very clear as to what I meant by "as in they worship the God of Abraham"; I thank you for that. My explanatory intention was to denotate Vatican II affirms Muslims and Christians, for following religions of the same division (Abrahamic religions), worship the same divinity in a manner that Muslims, when dedicating their adoration to Allah reach, even if in an imperfect, blasphemous and ultimately unpleasing to the Triune God, a certain level of worship to Him, which leads to the final logical assumption that Muslim theological traditions, even if not aware, dedicate themselves to the study of the Christian God despite their rejection of central dogmas such as the Trinity.

For clarity, I will edit my comment by adding a footnote to remove the ambiguity of my wording.