According to the BATF, between the years 1980 through 1993, there were 4.6 million guns legally exported from the U.S. The BATF has not made readily available which guns exactly and does not know what those guns were ultimately used for. It's not their job to track each gun from production to destruction. Given the quality and popularity of U.S. made guns for hunting and sport shooting, it's a safe bet that many were used for those purposes. A good number probably went to countries whose citizens wish to enjoy those activities, but their countries do not produce guns or guns that are available for them to purchase. Countries where private gun ownership is legal do not always produce a suitable type or number of guns for private purchase.
There are already laws in the U.S. as to how many guns a person can sell and/or export with out a Federal Firearms License. All sales made by an FFL must be recorded. Even non sales type FFL, such as Curio and Relic licenses, must be recorded and there are laws as to how many guns a C&R license holder can sell before they are considered a dealer. Violation of these laws can result in revocation of the license, fines, confiscation or firearms and prison time.
Foreign nations have laws as to how many and what type of firearms can be imported into their countries. It is up to them to enforce their own laws.
With the present laws and enforcement in place, there is simply no way that the American citizen is arming global conflict. America has done its part on foreign policy to ensure this is not happening. Foreign countries would do best to not make U.S. domestic gun ownership a matter of international affair.
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Paddle or die!