A dissenting Liberal MP says the party is at a crossroads, while former minister Ken Wyatt has quit in protest over its decision to oppose the Indigenous voice to parliament.
Mr Wyatt, who was the country's first Aboriginal person to hold the Indigenous Australians portfolio, resigned from the party on Thursday.
"I still believe in the Liberal Party values but I don't believe in what the Liberals have become," he told The West Australian.
"Aboriginal people are reaching out to be heard but the Liberals have rejected their invitation."
It follows the Liberal Party's decision on Wednesday to support constitutional recognition for Indigenous people but reject the government's proposal to enshrine a national voice to parliament.
The Liberals are instead calling for legislated regional and local voices to be established.
Opposition Leader Peter Dutton labelled the government's proposal divisive, describing it as "the prime minister's Canberra voice".
Mr Dutton insisted his party was not split over its position on the voice, saying 99 per cent of his MPs supported the partyroom position.
Tasmanian Liberal MP Bridget Archer said she was not the only member who felt their party was at a crucial juncture.
"I stay because I know that I am not the only person that thinks that way and I stay because I think the Liberal Party is at a crossroads," she told ABC Radio on Thursday.
"For people like me, that means there's a decision between either walking away and leaving them to it, or fighting for what I believe the Liberal Party used to be and should be in the future, a credible, alternative government."
She pledged to campaign in support of the voice despite her party's position.
Indigenous leader Noel Pearson was scathing of Mr Dutton, labelling the decision to oppose the voice a "Judas betrayal of our country".