We have had three wins at Fair Trading/NCAT by going through their mediation process and arguing the right to peaceful enjoyment, rather than right to have non-carpet flooring. On all three occasions we obtained recommendations/orders to have flooring removed and reinstalled.
The key component that led to our wins was utilising a simple noise test (walking around in high heels, dropping keys, moving furniture), witnessed by independent persons (non neighbours, building management, committee members), making a report and going from there.
Needs the cooperation of all parties, but if cooperation is not there I think you will find that would be looked on unfavourably by Fair Trading/NCAT.