"The Congress: apologizes to Native Hawaiians on behalf of the people of the United States for the overthrow of the Kingdom of Hawaii on January 17, 1893... and the deprivation of the rights of Native Hawaiians to self-determination... and urges the President of the United States to also acknowledge the ramifications of the overthrow of the Kingdom of Hawaii."
Congress voted in favor of this and Bill Clinton signed it into law. Senator Slade Gorton (R-Washington) refused to vote for the measure, saying, "...the logical consequences of this resolution would be independence." Let's just assume Slade (what a great first name!) was correct. In that case, the US government gave Hawaii its independence in 1993, which means it's not a US state—which means Barack Obama can't be the president. OK, I admit it's a desperate, contorted stretch to make a conspiracy out of nothing—but that's why it's perfect fodder for the birthers.