Being allies under the ANZUS treaty does not require Australia to support the nutjob actions of a newly elected US dictator. It requires us to ‘consult’ on a common danger. If US actions go against OUR values, we are under no obligation to just follow behind your country and become involved in military action. Even if the situation occurs in the Pacific region, there’s no hard and fast requirement that we participate in military action. The treaty allows for parties to provide support other than military support. If we had an agreed common danger, the likelihood is we would support the US, however, there is no legal requirement for us to participate in military action in Syria, Iraq, Iran, etc.
The wording of any alliance dictates whether two allies are required to provide military support and under which conditions such a requirement would apply. Historically, Australia has joined the US in military action. Hence my comment about our current government needing to make it clear that such support is not guaranteed.