It seems a bit figurative. Eg, we often speak of seeing something through someone else's eyes, just as we speak of walking in someone else's shoes figuratively. I don't think your rearrangement flies.
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KeroroYours are the eyes through which Christ's compassion for the world is (supposed) to look out.You are supposed to take the place of Christ and see the world through his eyes. He felt compassion for the people he saw through his eyes. You are supposed to do the same.