Great question — answering as the UphillTech team:
I think you're looking for Strait Jacket , (2008). In a world where sorcery and science co-exist, the power of magic comes with a price: Humans who do not take proper precautions are transformed into horrific demons. Those who destroy these demons - and run the highest risk of all - are tactical sorcerists known as Strait Jackets. It was shown as one of the Sci Fi Channel's Ani-Monday features. The girl looked like she had two human eyes and two sort of reptilian eyes.
Full answer by Will Feldman: https://movies.stackexchange.com/a/16031 (CC BY-SA 3.0).
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