They can regulate what kind of weapons are available to civilians versus the military, but they cannot implement gun control where we cannot own them at all. That would infringe on my second amendment right to keep or bear arms.
John Locke, whose ideas were reflected in the ideas of the founding fathers of the United States, wrote back in 1690 that the natural right of a person is the right for protection of life, freedom and property from threats and encroachment from the outside.