Meaning of "Bring out the devil inside me"
Solution 1:
My sense is reflected in the colloquial devil: OED
colloquial. Fighting spirit, wildness; temper or energy that can be roused; mischievousness.
So I would interpret the phrase as:
Oh baby you allow my wild side, my energy, my mischievousness to come to light, to being, to the surface (to be brought out).