Both issues will be thrashed out on Tuesday as part of an extraordinary parliamentary sitting week in response to the Bondi terrorist attack.
Monday will feature a condolence motion for the victims of the December 14 massacre, after which the Senate will adjourn as a mark of respect.
The government had initially proposed an omnibus bill taking in its planned gun buyback scheme, a hate group ban, and racial vilification provisions.
However, Prime Minister Anthony Albanese moved to separate the proposals on Saturday after the Greens revealed they would only support the firearms legislation.
"This is a way in which (the Greens) can vote for the gun laws that they said they would vote," he told reporters.
"These gun laws are really important, there is no reason why anyone should oppose these gun laws."
Mr Albanese also signalled the removal of racial vilification offences from the surviving hate speech bill as they were also unsupported.
"The hate crimes legislation will continue, the racial vilification laws do not have the support of the Senate," he said.
"That is what the Greens party and the Liberal Party have made clear, so we deal with the parliament that we have."
With fresh battlelines drawn, Mr Albanese said it was now up to the coalition to justify its position to the community should it oppose the amended program.
"At the moment, they're defined by what they're against but it's not clear what they're for," he said.
"They have, up to this point, of course, called for parliament to be recalled and then opposed.
"They called for hate speech laws. When they've seen them, they're now against them."
Greens leader Larissa Waters said the minor party would not back the reforms in their original form given the "significant amount of work required to meet community concerns".
"However, the Greens, having consulted closely with gun safety advocates, are willing to pass the gun law reforms," she said.
"If the government is, too, those changes can become law when parliament returns next week."
Opposition Leader Sussan Ley on Friday opposed the omnibus bill, calling it "pretty unsalvageable" as the hate speech element did not explicitly criminalise phrases such as "globalise the Intifada".
Asked whether the legislation should also specifically reference Islamophobia, she said "we're not talking about that".
"We're talking about anti-Semitism and radical Islamic extremism and the rise of ISIS," she told Nine's Today program.
Legal experts, Jewish groups and influential religious leaders also criticised the bill as too rushed and broad.
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