I don't Tony said anything too outrageous on Sunday with regards to the need for reformation within Islam. ...
Problem is this bloke is hardly one to preach enlightenment 
Given that the former PM is supposedly intelligent how exactly do you 'reform' Islam, a faith of various sects that cover millions of people of different races and cultures. He may as well try to reunifying all christians under the Roman Catholic church.
Meanwhile there are plenty of fundamentalist 'christians' willing and ready to blow away anyone that doesn't agree with their small minded view of the world. Plenty in the US and now here who don't recognise the legitimacy of government over their God.
It's just the old Abbott with his divide and conquer attitude.
Abbott is not wrong in that Islam needs to have a look at itself as during many of these events there was historically alot of silence and even recently the voice from the religion is from the lower levels, not the top including the govts of western friendly islamic states. However post Paris things did change slightly with some islamic states becoming vocal.
I feel that there is some level of acceptance by the many parts of the religion to these terrorist acts even in the more liberal side.
However one of the issues is that there is no "head of the church" so to speak in islam like various parts of Christianity.
My understanding is that what is said in Friday prayers is controlled by the govt in numerous countries to keep some Innam's from inspiring radicalism and this includes Eygpt and the UAE and I assume many more countries. Although in some cases such as Egypt this is a more recent control as the new President brings the country back from the radicalism that was starting under the former Muslim Brotherhood govt.
Yes its a diverse religion and this is where I think Abbott is maybe off track. Islam has many aspects from liberal where women wear western clothes and bikini's to hard core ISIS style. The hard core sector already rejects the more liberal aspects of the religion, so what will change? In my mind and I think what Abbott means is that they would need to go through every Mosque and Innam one by one and filter out the problems and even in Australia the Islamic council seems to struggle with some of its leaders making very controversial public comments over the years.
Having said that, the Catholic church was just as slow to remove problem Priests abusing children and still protects many. But I suppose they are not shooting people!