Hmm...I think the idea that she split in two would be more likely, given her damaged sanity. The part that recognized her past for what it was and wished to make amends and the other believing she had been horribly wronged and wanting vengence on everything. One half sane, the other crazy.
The question is, which is stronger? The searing inferno of destruction or the purifying flames of salvation?
I'd say the Anti-virus one would probably win only because typically the good ones always draw good to them, so she wouldn't be fighting alone. Problem for the Viral one is that evil may attract evil but typically evil never ends up working together well as everyone has different goals, so even if Viral Azula attracted some evil people to her, most likely they'd end of leaving her to die.