Animating vectors to audio in After Effects
I would build one of the "stacks" as a comp.  On the first frame of the comp, I'd have the first layer in the stack, and on each progressive frame I'd add the next layer.
Then in my main comp, I would put the music track, and use something like Sound Keys from Trapcode or generate keyframes from the audio using a technique like this:
https://www.surfacedstudio.com/blog/vfx-vlog/after-effects-audio-to-keyframes/2

Once you have the audio keyframes, then you could use an expression to display a specific frame of your comp based on how loud the sound is on that frame.

once you've got that working, then I would think about applying this to more than one stack, and thinking about how to apply different behaviours to different stacks, either based on different EQ settings or maybe on a time delay, so the audio appears to ripple across the stack.