Arizona Boycott Gone Wrong

A lot of people are reacting to the recent immigration bill passed in Arizona with a boycott. One of the items being boycotted is AriZona iced tea. The only problem with that is that AriZona tea is from New York state and has nothing to do with Arizona other than the name. Given how crazy the state has been lately, wouldn't a more logical response be not to have anything to do with the state?