“a stretch, Islam?” That’s a trillion leaps and ten trillion stretches! Islam follows Satan, nothing else.
I do not care about your opinion. Traditionally those three religions are Abrahamic in origin.
It is classed as an Abrahamic religion because its holy text cites Abraham as the father of Ishmael, who is to Islam as Isaac is to Judaism. What one may think of the actions of the adherents to the religion does not change the history of how the religion formed and what its sources were.