Why? What do you expect the results to be?
This, paired with an adequate educational approach to gun ownership will produce what happens in my country, almost 0 issues over firearms. We dont have mass shootings, we dont have people complaining about our rights to firearms (we have a
very strong "right to property" in our constitution which can very well include owning firearms), yet firearms are not an issue, never have been, much like in any other countriy where people dont have a trigger-happy mentality. Even the ghettoest ghetto thugs have trouble acquiring guns, which caused a funny phenomenon of homemade firearms that cant even kill people (although they leave them badly injuried). We enforce our customs duties correctly (fiscalization), trafficking is hard, and there is no market for it because of several factors, education and inside enforcement of gun ownership laws being the most important ones.
Basically, if it works here and elsewhere, why wouldnt it work in the US?