"It concerns me deeply, and I understand the response of Australians - those of Islamic heritage, those of other backgrounds - who look at the sights and hear the sounds of that demonstration and think, 'why do you linger in Australia? There would be other countries where you'd be happier, where you'd be more fulfilled','' he said.
The fracas followed protests around the world sparked by the film Innocence of Muslims, which was produced in the United States and portrays the prophet Mohammed as a fraud, womaniser, homosexual and madman.
Senator Carr admitted to feeling bewildered by Saturday's violence.
"The talk of beheading, for example, is the talk of people who will never be comfortable with the Australian democratic tradition.
"I just feel pained and bewildered at what that demonstration represents.''
NSW Premier Barry O'Farrell warned against a repeat of what he labelled the "unacceptable face of multiculturalism''.
"The message is that if they do it again they should expect to be arrested, they should expect to be hauled before the courts,'' he told Macquarie Radio on Monday.
Asked why riot police did not use the force's water cannon to quell the protesters, Mr O'Farrell said: "I would have thought a water cannon would have been a sensible approach on Saturday.
"But I'm not going to run, and I shouldn't be running the operational side of the police.
"I'm happy to pick up the phone to (Police Commissioner) Andrew Scipione again today to make it clear to him that he has my full support for taking the strongest possible action when we see the sort of violence we witnessed in our city on Saturday.''
- AAP