"We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness..."
Unalienable - not transferable to another or capable of being rejected.
*Note: Atheists should substitute whatever they wish for Creator.*
Everyone has a right to life, liberty, and the pursuit of happiness as long as it doesn't infringe on anyone else's right to life, liberty, and pursuit of happiness. Clearly the framers of the DoI only had white men in mind as slavery was still legal, women couldn't vote, and the First Peoples were bamboozled and bullied out of the land that they occupied first. Although the purpose of the DoI was for the colonies to secede from Britain, the new country still had its own issues.
Until everyone, and I mean everyone, can exercise her/his unalienable rights, there will be no true Independence Day.