NO.
I never thought about boycotting my own shops because i have to pay taxes. I believe you should ALWAYS shop as locally as possible and help the economy in your own back yard and i have accepted the necessity of paying taxes my whole life. I can not imagine punishing a shop because it shares the same state as me, i think it is a priveledge to be able to shop with them.
even when i lived in Washington state right across the river from Oregon, i did not cross the river to save on sales tax, i paid my taxes as required by law.