Sure. As mentioned in the edit above, doing something as insanely audacious as making war on the architects of reality for being dicks takes enormous heroic balls. You are a classical hero by definition should you do this.
However, again, that's really a side-effect: you're able to do this because you just got a divine furnace of holy atomic fusion welded to your soul through sheer chance, a golden sword with power such that you can kill the souls of titans such that they may never rise again. That little murder-widget is a weapon.
No it's not. The Exaltation is not something you
wield, it's something you
are. It is not a weapon; it is a change in your nature, it's power, it's potential.
Is a soldier a weapon? Is a decorated war veteran a particularly powerful weapon? Is a lawyer, a diplomat, a spy a weapon?
There is a paradigm under which the answer is 'yes,' but that paradigm also diminished the point you're driving at. Sailor, soldier and spy are agents of a greater authority, empowered to fulfill its goals. But if they're weapons, then
everyone is - and the term becomes meaningless. We are all, to an extent, tools of the society that wield us. But it's also a largely pointless definition.
The Exalted were soldiers, diplomats, spies, assassins, preachers, generals in a vast war against their enemies, who were also the enemies of the gods. They were only 'weapon' by a twee, cheeky definition that tries to boil down
all of human endeavour to a state of tool-ness - they were 'weapons' to the extent that their own perfectly mortal followers were, to the extent that the farmers feeding their armies were.
Exaltation is a weapon under a standard by which every ploughshare is a sword. It is true from a certain point of view, and also completely useless to a productive discussion.
The Exalted were heroes; they were human doing human things, whom the gods empowered to do things
beyond those, to become the heroes needed to win that war. They were champions.