The Pan-Semite Union was a political entity in the Southwest Asia and North Africa (SWANA) region on Earth in the 23rd century. One of its municipalities was Sadat City. (TOS novel: Dwellers in the Crucible)

Sarah, wife of Avram ben Eliezer, was an emigré from the Pan-Semite Union to the colony of Hebron. (Star Trek: Shadowstar Station)

Andreas Kitabatu al-'Qalb was born in Sadat City. (Star Trek: Shadowstar Station)

In some continuities, such as the branch universe of Star Trek, Israel was a political entity distinct from the Pan-Semite Union. (TOS novel: Starfleet Academy: The Delta Anomaly)

23rd-century Israel is also an independent nation-state in Josepha Sherman and Susan Shwartz's trilogy that begins with TOS novel: Vulcan's Forge. It may be that the Pan-Semite Union was short-lived as a nation-state. An alternative explanation is that only particular regions of Israel and Egypt were incorporated into this nation.

Star Trek: Shadowstar Station continuity

The Pan-Semite Union was founded in the 2040s. Its capital is Al Quds. One of its early leaders was Dr. Ismail Abdul-Karim. (Star Trek: Shadowstar Station: "Provenances", "Renée")