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 ancient biblical name for the region.
• The Levant Republic: A geographically descriptive name, suggesting a new beginning.
• The Abraham Accord State: Referencing the peace agreement.
• Peace Valley: Simple, evocative, and hopeful.
• Covenant Land: Suggests a binding agreement and shared future.

Options emphasizing a new identity:

• New Canaan: Similar to "United Canaan" but emphasizes a fresh start.
• The Israelo-Palestinian State: A straightforward and descriptive name.
• The Mediterranean Commonwealth: A broader, less historically charged name.
• The Holy Land Federation: A name that acknowledges the region's religious significance.

Options emphasizing specific aspects of the culture:

• The Olive Branch Republic: Symbolic of peace and prosperity.
• The Land of the Two Rivers: Referencing the Jordan and other significant rivers.
• The Land of Milk and Honey: A biblical reference to prosperity.

Options with a more modern feel:

• Aetheria: A made-up name suggesting a new era.
• Solara: Evokes sunlight and hope.
• Terra Nova: Latin for "New Land," suggesting a fresh start.

The best choice will depend on the political and social context of the unification. Consider which name best reflects the values and aspirations of the new nation.