No the US should not have annexed because Hawaii did not willingly allow their lets say own country to be annexed they wanted to stay free and uncontrolled and now they do not have the equality that they used to have. If Hawaii wanted to be annexed then it would not have been decided only by the US government it would have been decided between Queen Liliuokalani (lih lee oo oh kah LAH nee) and the US government and the Queens people. So no the US should not have annexed Hawaii without talking to the Queen and her people.