A word of caution – pick the wrong strata manager as a compulsory appointment and you will regret it. In most cases, the compulsory manager takes over the whole running of the block – the committee and owners have ZERO say over repairs, budgets and levies. Many strata managers will run the building (usually for two years) precisely by the book and that means no leeway on anything. Some, it has been reported, have their favoured tradies to do work for inflated prices and there is NOTHING you or your neighbours can do to prevent it until the compulsory period runs out.
As a final gambit, I would explain to your neighbours that the running of the building has become so untenable that you are considering applying for compulsory management, spelling out exactly what that means. Otherwise, they can elect a new committee, select a new manager and start getting the building in shape.
If you do go for compulsory management, find someone with whom you can work and they will advise you on the information you need. But generally is should be evidence of demonstrable breaches of the Act such as failure to maintain and repair common property, failure to pursue unpaid levies etc etc. Complaints about politicking or personal disputes will butter no parsnips at NCAT.