While it is recognized that Moslems worship the same God that we do (though calling him Allah, He is the same God of Israel), even those who follow the tenets of their religion cannot be considered righteous in the eyes of God, because they do not accept that the Written Torah in the hands of the Jews today is the original Torah handed down by God and they do not accept the Seven Laws of Noah as binding on them.
While the Christians do generally accept the Hebrew Bible as truly from God, many of them (those who accept the so-called divinity of Jesus) are idolaters according to the Torah, punishable by death, and certainly will not enjoy the World to Come. But it is not just being a member of a denomination in which the majority are believers in the Trinity that is idolatry, but personal idolatrous practice, whatever the individual’s affiliation.
Some European rabbis (presumably because of fear of reprisal from their Christian neighbors, famous for their violence to Jews) have gone so far as to say that worshipping God in the form of a man constitutes idolatry for a Jew punishable by death, but the Trinitarian Christian worship of Jesus does not constitute idolatry. In truth, any idolatry for which a Jew is punishable by death is also punishable by death for non-Jews, including the worship of a man as a god.
In order to help fund my bibliophilia, please click here if you'd like to order something through Amazon. Anything you order will earn me a tiny commission, which might one day allow me to order a book or two for free. It doesn't cost you anything but does me a little favor. Otherwise, if you're feeling generous, here's my Amazon wish list