There is no single "correct" answer as the name should reflect the desired image and future of the unified state. Here are several options, categorized by approach:

Options emphasizing unity and peace:

• The Land of Abraham: A religiously neutral name referencing a common patriarch.
• United Canaan: Referencing the historical name of the region.
• The Levant Republic: A geographically descriptive name suggesting a new beginning.
• The Abraham Accord State: Referencing the peace accords.
• The Peace Covenant: A more abstract name focusing on the goal of unity.
• The Two Rivers State: Referencing the Jordan and the other major rivers in the region.
• The Holy Land Federation: A name that acknowledges the religious significance of the region.

Options emphasizing a new identity:

• Neo-Canaan: Suggests a modern iteration of the historical region.
• Ayalon: A name derived from a significant geographical feature.
• New Judea: A more controversial option, potentially appealing to one side more than the other.
• The Sharon State: Referencing a prominent geographical region.
• The Mediterranean Commonwealth: A broader, less historically loaded name.

Options emphasizing specific aspects of the union:

• The Palestinian-Israeli Union: A straightforward and descriptive name.
• The Jerusalem State: A potentially controversial name, depending on the status of Jerusalem.
• The Coastal Federation: Referencing the Mediterranean coastline.
• The Jordan Valley State: Referencing a significant geographical feature.

The best choice will depend on the political and social context of the union, and the desired image projected to the world. Consider the implications of each name before making a decision.