I lived in Bethel for 25 years and moved 6 or 7 years ago. I've never heard of the runway lights going out. Every winter each of the villages, about 48, serviced from Bethel, is isolated due to bad weather for about a week at a time. Each village has a store and most people subsistence hunt and fish. There is a lot of dried fish, seal meat, and other wild game preserved in traditional ways. Right now most things are frozen but not wrapped just hanging in a shed. They may run short on somethings but the village store buys a years worth of ammo, guns, canned goods, etc. all of which comes on the annual barge. They'll be out of fresh produce but that isn't a big part of their existence.
People won't starve but they may miss doctors appointments and they may not be able to get home. I expect medivac flights will still fly. I've been on many a flight where the airstrip was lit by snowmobiles or flare pots.
That is much what I expected. When disasters, be they man-made or natural happen often, prepping becomes a way of life. You KNOW something is going to happen and your weather can be much more unpredictable and severe in both intensity and length. You have to be prepared or you will not survive. Hope you are all O.K.