Right Tim, 
The state of Alaska's financial woes should be blamed squarely on people needing rescue. It certainly has nothing to do with decades of regressive fiscal policies like pretending high oil revenues were eternal, relying on federal subsidies instead of a state income tax, and general squandering of money on personal pet projects. But hey, at least you get to collect your PFD each year! Where did all the revenue go from the years of $120/barrel oil? Must have been wasted on rescues? 
Oh by the way, the rescue was ultimately performed by the NPS, not the Air National Guard, and in any case, the cost of such rescues, whether they are performed by the NPS or the Guard, comes out of the national SAR account, which covers rescue costs for everyone from mountain climbers to snowmachiners to fisherman to lost children on trails. State of Alaska doesn't foot the bill in this case. On the big scale, this rescue might have cost you about 4 cents, so your rage is certainly justified.