Deputy President Rigathi Gachagua and opposition chief Raila Odinga have closed ranks, telling off the clergy over their push for talks.
Religious leaders have mounted pressure on President William Ruto and the opposition leader to dialogue for peace in the country.
However, on Thursday, Raila and Gachagua dug in on their hardline positions, maintaining that there is no need for talks.
Speaking on Thursday, Gachagua said that religious leaders should not ask the government to fall into blackmail.
"Don’t request us to sanction blackmail and impunity. Because what Raila is doing is blackmailing us into talks. How can you ask us to fall into the trap of blackmail, threats and intimidation?" he posed.
Raila told off the clergy saying he is not interested in talks but the truth on last year's elections.
"Our answer to the clergy is in the gospel, I want to quote John 8:32 - Then you will know the truth and the truth will set you free," he said.
Raila insisted that the team will continue with the demos because they want the IEBC servers opened, the cost of living to be lowered and the introduction of subsidies on fuel, electricity, education and food to lower the price of commodities in the country.
"The server should be opened for a forensics audit," he said.
The Kenya Conference of Catholic Bishops (KCCB) has said that while leaders from the ruling administration should avoid chest-thumping, those in the opposing camp must agree to talks.
KCCB chairperson Martin Kivuva said the blame games by two factions of leaders cannot help solve the myriad of problems facing Kenyans but only serve to worsen it.
"There cannot be a good reason to resort to the standoff and defiance of our leaders to the detriment of Kenyans," Kivuva said.
On Wednesday, Muslim leaders also urged Raila to suspend the protests.