Six people have so far been arrested after police on Saturday clashed with Muslim protesters who were angry about an online video that mocks the Prophet Mohammed.
The violence has been condemned by political leaders and many Muslims, but one Coalition senator says it should serve as a "wake-up call" to those who are "naive" about the potential impact of Islamists in Australia.
"It is easy to dismiss the practices of the last week as the result of some crazy extremists," Senator Cory Bernardi wrote on his website.
"That is the convenient route for those who know very little about the fundamentalist Islamic agenda and understand little of their mission worldwide."
See how we covered the Sydney CBD protest as it happened.
Fellow Coalition MP George Christensen says those found guilty of violence should be deported if they are not Australian citizens.
"I think the average Australian would think (that) if you're engaging in violence and you weren't an Australian citizen, jump on the first plane and head back to where you come from because that stuff is just simply not on in this nation," Mr Christensen told ABC News Online.
"It really does call into question the whole thing that's been pushed for the last 20 to 30 years on multiculturalism.
"When we see scenes like that, we just wonder what the future may hold."
Mr Bowen says he is looking at what options he would have if any "non-citizens" were involved in the protest, but has spoken out strongly against the violence.
"Clearly this is not done in the name of Islam and it is not done in the name of multiculturalism; it's done in the name of thuggery, nothing short of that," he told reporters in Canberra.
"This is just criminal behaviour, nothing short of that."
Much of the public anger over the weekend's events has focused on some of the placards held by protesters, especially one that read: "Behead all those who insult the Prophet."
Some of the placards were being held by young children, and they appeared to be encouraged to do so by their parents.
Mr Christensen has described those involved in writing and distributing the placards as "idiots".
"For those people who like to say that Islam is a religion of peace, well, if it's a religion of peace, I think Mohammed would be turning in his grave to see signs up saying let's behead all those who insult the prophet or insult Islam."
"Particularly when they're in the hands of youngsters and toddlers, it's just an absolutely disgusting situation."
Foreign Minister Bob Carr says the placards were the work of "provocateurs" trying to achieve an "extreme clash" between cultures, and has urged the community not to be provoked.
But he has conceded that he is a "little apprehensive" about the prospects of long-term peace between Muslim and Christian cultures.
"The way these demonstrations flared makes me a little apprehensive, but I do hope, and I think there's a chance of this, that they could recede every bit as fast and they came in," Senator Carr told ABC Radio National.
Meanwhile, police have warned they will be prepared if there is a repeat of the protests in Sydney's CBD this weekend.
Commissioner Andrew Scipione has revealed that police were made aware about the protests when they were forwarded text messages from members of the Muslim community.
"Many of them were sent to us by people within the community who were outraged by what they were receiving on their SMS system or on their Facebook page, and so they brought them to our attention," he said.
"We have good relations with community and through the community contacts unit, which is an area where we invested very heavily in recent times."
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