One of the tradeoffs to Constitutional Carry was that you (A) have to declare your firearm to any LEO upon contact (not detention) and (B) any LEO can secure a concealed firearm for the duration of the contact without any cause.
Normally, under case law (Terry), a Terry Frisk can be done only if the officer has Reasonable Articulable Suspicion. A weapon can only be seized for officer safety if there is further RAS that the possessor is dangerous. So, argueably, the Alaska tradeoff (eliminating the requirement for RAS) does give up a protection for CCW'ers. As the law is written, there is no duty to declare nor any ability to seize for openly carried firearms.
As for Gun Free Zones, Alaska has pretty strong pre-emption. In fact, in recent years, some local places in Anchorage like the city library have removed their no guns signs in accordance with preemption. Others may be able to comment more on this evolution elsewhere in the state.
There were some "blood in the streets" newspaper articles full of hysterics but it doesn't seem to get much traction or attention locally as an anti-gun issue.