There is some fear by the anti-gunners that this is already happening due to the policy adopted by Ashcroft. Although Ashcroft's policy suggests that there can be "reasonable" restrictions, that notion is inconsistent with a "right". Virtually none of the gun laws on the books can pass a "strict scrutiny" test because they have no provable impact on any compelling government interest.
One might justify the Brady Bill if it was demonstrated that murderers and bank robbers were committing their crimes with knives. This is not happening because the law is ineffective.
I believe that it was the CDC, probably to make amends for past anti-gun activities, which examined some 50 studies of gun-control effectiveness and found that there was no evidence that any gun law had had a beneficial effect.