While I agree somewhat to pay for what I use, why do I need to pay for things I don't.
Also taxing my family means that yes the State will have dollars to spend in Alaska thus stimulating the economy.  However I will be reducing my spending in the local economy as I will have less disposable income. So this is a fine line.  I worry that once income taxes rear their ugly head they only go up.
Alaska spends too much per resident.  Evaluate spending in social welfare programs, they are a very large part of our budget.  Eliminate the dividend, and let's spend responsibly.  I will then consider an income tax.  A better tax in my opinion would be a sales tax instead.  Spread the burden to the tourists whom use our roads and services in the summer.