"Judeo-Christian" refers to the common beliefs and mythology held by either Jews or Christians. If you wanted to describe the common beliefs and mythology held by Jews, Christians, or Muslims, then you'd refer to it as the "Abrahamic faiths."
Quite obviously, this is more of an academic categorization, much like "Indo-European" in linguistics and sometimes ethnicity. Most everyone here is speaking an Indo-European language. But when it comes to self-identification, we will merely state the individual Indo-European language that we speak: English, Spanish, French, German, Greek, Persian, etc.