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One thing to understand about soundproofing is that it works when you provide an air gap between layers (as in your proposed scenario) because when sound hits the drywall, most of it reflects back and a percentage of it transfers through. So when it hits the second layer, that small percentage reflects back while an even smaller percentage transfers through.. and so on.
The mistake that many people make is that they stuff the ceiling with insulation and install two layers of drywall on top of each other.. thus creating more sound conductivity than isolation.
It's the same way that a bullet can go through several sheets of plywood stacked together but if you spread the sheets out, it will slow the bullet down as it penetrates each layer.
