To call it "independence" day is true Doublespeak.
The only thing that the "independence" in "Independence Day" has ever referred is the independence of the Ruling Elite from any concern whatsoever for the welfare of those they so heavily exploit and from any influence of them whatsoever on the political process.
Suspect it originally referred to our break with England, but could also refer to the nexr independence that you reference. Thanks for your comment http://www.slideshare.net/onesyrup23/independence-day-63707973