Combine shallot, vinegar, and pomegranate molasses in a large bowl; season dressing with salt and pepper and let sit 5 minutes.
Add kale to dressing, season with salt and pepper, and massage dressing into leaves. Add pomegranate seeds and oil and toss to combine. Serve topped with ricotta salata.
Do Ahead- Dressing can be made 4 hours ahead; cover and chill.
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