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If 'IT' is executed as per the 2nd and 10th Constitutional Amendments, the citizens of all 50 States will grant both.
Each state legislature would have to do it- it's not within Congress or the president's power to force the states; or each state would have to amend its constitution- a process that would requires the legislature in many, if not most states.
What will entice the state legislatures of NY, NJ, CA, HI, or MA (the most frantic anti-gun states) to grant reciprocity?