"Some of them have raised this anti-Muslim, anti-immigrant sentiment just for electoral vote winning and I think that's disgusting," Senator Faruqi told SBS News.
"Muslims have been saying for years that dehumanising us is going to have a cost and we will not be pawns in this game where our lives are up for debate."
But Mr Dutton told ABC radio on Monday that she and other Greens were in the "extreme left" and likened them to Fraser Anning, who has claimed that Muslim migration is partly to blame for the far-right terrorist attack.
"I'm hardly going to take morals lectures from the extreme left who frankly are just as bad in this circumstance as people like Fraser Anning, they should equally be condemned," he said.
"We have people on the far-left or the far-right trying to extract political advantage. I think it’s a disgrace."
Labor Senator Penny Wong told Mr Dutton to "stop normalising hate speech".
"Political criticism is not the same as blaming Muslims for this terrorist act," Senator Wong tweeted.
Senator Faruqi wants politicians to take a pledge to call out racism and bigotry, saying she was dismayed it had taken the deaths of 50 innocent people to highlight the problem.
"I do hope that now politicians will start listening and will start acting but it didn't have to come to that, we could've acted much earlier," she said.
Race Discrimination Commissioner Chin Tan said he believed it was time to draw a line against hate speech in all aspects of society, including Parliament.
He told SBS News politicians should be more mindful about the effect of their rhetoric on refugees and migration.
"Politicians like anyone else has the responsibility, but particularly in the role they play because of the unique position in Parliament what they say has an influence on what people think about this," he said.
Attention has also centered on the role of the media in amplifying the voice of extremists.
"There's a fine line between freedom of speech and between spreading hate speech. You absolutely call out politicians and scrutinise them and question them and I think that's what's not been happening here," Senator Faruqi said.
"They haven't scrutinised what people like (One Nation leader) Pauline Hanson and (independent) Fraser Anning and even some in the Liberal party have been saying."
Social media swamp
Attending a mosque in Melbourne, Opposition Leader Bill Shorten said social media had allowed hate speech to spread all too easily.
"Social media is a marvellous tool but it can't used as a swamp in which wrong doers can hide and crawl out to do even worse things," Mr Shorten told reporters on Sunday.
Mr Tan said more research was needed to understand the impact of social media in intensifying racism.
"We need to talk to the providers about how they take responsibility for how they display and allow information to be passed on," he said.
Prime Minister Scott Morrison spent the day attending services for multiple faiths.
"In the midst of this awful atrocity this is the hope we can cling to, peace-loving and free people all around the world," he told reporters at a Coptic church in Sydney on Sunday.
"We can all band together to stand against this hatred and this violence and we all stand together as people of many different faiths or no faith at all, standing together for innocence and for peace and for love over hate."
Additional reporting by AAP