And please remember it was the Global War on Terror, not the war on AQ.
"Global war on terror" was a carefully thought-out euphemism, to get away from talking about AQ and why we can't catch UBL. It was "global" in the same sense that baseball's "World series" has the best teams in the world.
After 9/11 it became US policy that anyone who thought terrorism (defined as random attacks on non-military targets and/or deliberate killing of civilians) was a valid tactic was going to get snuffed.
That "random attacks ..." was the starting point for the definition of terrorism, but was in no way was the final answer. Whether the attackers are friendly/indifferent/enemies to the US, are attacking people friendly/indifferent/enemies to the US, what kind of vested interest we have in the area (mineral resources, etc), what kind of government is in the area, what kind of blowback for calling/not-calling them terrorists, etc, etc, all factor heavily into who we call "terrorists". And that doesn't even cover the last election cycle, when people were calling some candidate or other "terrorist" just because they wanted the other people to win.