This only indicates that you didn't even take the time to read the Wikipedia article on it.
The reason treason is defined narrowly in the Constitution is because it was a crime whose definition was abused when it wasn't. You are doing the same thing with your 'interpretation'. The Founders meant "levying war" to mean actually, no shit, levying war (civil war, coup d'etat, assassinations).
There are a lot of things that can be interpreted from the Constitution. Treason is not one of them, nor should it ever be. The definition is narrow enough to prevent its abuse while still being focused enough to ensure that people who do things like start civil wars, assassinate political leaders, or defect to an enemy can be punished.