According to Chart 8, The annual worker earnings of residents in the oil patch is approximately $1.5 billion which accounts for only 2/3 of oil patch earnings. The other 1/3+ that is non-resident therefore would be approximately $0.8 billion for a total annual oil patch wages of $2.3 billion which according to Chart 2 is 11% of all Statewide wages. Therefore total Statewide wages are approximately $21.0 billion.

A 1% State income tax would raise $8 million from non-resident oil patchers, $15 million from resident oil patchers, and $210 million from all Alaska wage earners.  So don't cut off your nose to spite your face!
PS this is based on gross wages - so tax revenue after exemptions and deductions are taken would be proportionately less.