Fighting yourself:

Yes without a doubt you have a split personality.
[1] a personality that is ignorant and is ignorant of it's ignorance
[2] a personality that is the Buddha nature

Your Buddha nature manifests when you are mindful and you do everything with wisdom and with the right concentration, because of your mindfulness.
And you have that other personality when you are engulfed in greed, hatred, and in ignorance you act in ignorance
And you do not know your own ignorance.
So yes you have two personality and you fight with yourself not with anyone else.

Palms together
Deep bows,
Des/boo-ngoh