Acoustical ceiling tile adhesive for soundproofing?

[Ro Maga]

Hi! We are trying to reduce sound transmission between our ground floor and the second unit apartment, both of which are completely finished. I'm taking both, transmission and impact sound. We've been considering drop ceilings but we only have 1.5-2" to spare before we drop below the minimum allowed ceiling height. While looking at our options, acoustical ceiling tile adhesive came up, which sounds like a perfect solution... if it works. We currently have finished ceilings, so we'd be mounting/ glueing the ceiling tiles right on the drywall. We also have Green Glue left from another job, and while that is not properly adhesive, it could add a little towards decoupling and hopefully sound reduction. Anybody with experience with this kind of application care to comment? Is this potential solution as much wishful thinking on my part as I think it is? Any other recommendations?