A distinction without a difference. Just as Germany declared war against the US in 1941, Bin Laden and AQ declared war against the United States in August 1996. Read his fatwah entitled "Declaration of War against the Americans Occupying the Land of the Two Holy Places."
On February 23, 1998 Bin Laden issued his fatwahUrging Jihad Against Americans. It doesn't matter what this struggle is called by us. Our enemy calls it a war on America.
Yes, it does. Choice of terms frames the debate. We are now entering the Orwellian age of perpetual war.