They did not consider themselves Arabs (9:97) but spoke Quraysh, an Arabic dialect influenced by Imperial Aramaic which they called Intelligible Arabic (16:103) to distinguish it from the common language spoken by Muslim Arabs (49:14).
They recognized their common ground (5:82) with Ebionite-like Jewish Messianists (Notsari) but called themselves the Believers (2:62) and also welcomed Halakhic Jews as Those who Guide (Alazeena Haadu) and Noahites as Judeo-Baptists (Sabi). They called Apostates Judases.
They were Zera-Israel Gnostics who unlike Gentile Gnostics but in common with the Noahite Judeo-Baptists equated the God of Abraham Isaac and Jacob with God the Father on High rather than with the Demiurge who they and the Judeo-Baptists equated with Satan.