The same argument could be made for the reverse side and against your proposal. For instance, Canada and Switzerland have a liberal gun policy, and Brazil has a somewhat restricting policy. [1]
Guns are also a social issue, where in the United States it is our right to own guns and nothing can take that away, except using them as a tool in illegal acts. Queue the downward spiral where non-felon criminals already use guns excessively, so felon criminals obtain guns illegally to use excessively.
Guns aren't the problem. It is how us Americans perceive guns and our rights to own and use them that makes an issue out of owning them.
There might be a loose connection with crypto, where if all schemes have backdoors, only the criminals and "bad guys" who wish to send messages securely without government eavesdropping will implement or obtain ways to do so without backdoors.
