"Heller made clear that state and local jurisdictions do retain SOME authority to regulate "keeping and bearing." Where[Brady's] analysis goes off the tracks is assuming that any authority would be BROAD authority.
The Court has yet to set the level of scrutiny for gun regulation. There is no reason to do so in this case because the Chicago gun ban, like the DC ban, is a total ban on keeping guns. Under Heller, that is already held to be unconstitutional.
When the courts come around to setting a standard for regulation, it should be consistent with the Court's fundamental rights jurisprudence: that is, is the regulation "necessary to achieve a compelling public interest."
That would mean states and localities retain NARROW authorities to regulate the fundamental right."