First off, I hope you enjoy your visit to this great state!
I've started open carrying more and more around Anchorage, especially on warmer days, and I have yet to be approached by law enforcement. So far I've only found one place that doesn't accept people who carry openly, but its a car repair shop. Most places I've been to they'll either give you a funny look, or just simply don't care that you have a gun on your hip. I believe the only people who would actually freak out and/or call the cops are some of the tourists that come from states that have major restrictions on the carrying of firearms.
Perhaps Murphy can enlighten you a bit more than me, but what I just typed has been my experience so far with OCing here in The Last Frontier.