Actually, this decision was already made when the Constitution was written (both the US & Alaska ones). 
The people have the right to keep and bear arms. 
No taxpayer-funded building, institution, or business (including one which gets tax breaks or money in any way) should be allowed to prohibit the peaceful exercise of any civil right. 

And BTW, people keep forgetting that Alaska is a Constitutional Carry state. People can carry concealed _or_ _openly_ as they choose, whatever fits their situation, with no interference from the gov't.