Yes. That's an appropriate working definition.
Jews
Confucianism: The Analects Judaism: Tanakh/Torah
Jews religion is called Judaism.
Jewish; or religious Jews.
Jewish clergy are commonly called Rabbi.
No man is called god in Judaism.
They are called Baha'is ("followers of the Glory" [of God]), who follow the teachings of Baha'u'llah ("the glory of God"). They believe Him to be God's Messenger for this Age, as foretold in the Sacred Texts of past religions.
Christianity and Judaism share part of the Bible. What the Jews call the Tanakh, the Christians call the Old Testament.
Followers of Judaism do not believe in a devil. They believe in what they call "the Satan," but they don't believe he has any powers of his own.
Muslims call the followers of Moses and Jesus (the Jews and the Christians respectively) people of the book. This means followers of the holy book Torah and followers of the holy book the Bible. Christians are the followers of Christianity per God revelation of The Bible to Prophet Jesus (Isa in Arabic) and the Jews are the followers of Judaism per God revelation of Torah to Prophet Moses (Musa in Arabic). Muslims are the followers of Islam per God revelation of Quran to Prophet Muhammad (Peace be upon them all). Since Muslims believe in all God holy books including Torah, the Bible, and the Quran and believe in all God prophets including Moses, Jesus, and Muhammad (PBU them), they call the followers of Moses and Jesus (the Jews and the Christians respectively) people of the book. This means followers of the holy book Torah and followers of the holy book the Bible.
What we now call Judaism.See also:Are Hebrews Israelites and Jews the same peopleHow Abraham started Judaism
No. Jews believe in God.In Judaism, Jesus was a regular human being who lived in olden times, and is not part of Jewish religious belief.See:Why didn't the Jews believe in Jesus?What do Jews believe about God?Those people who call themselves Jews for Jesus are actually Christians, both according to Judaism and according to Christianity.