"total abolition" is correct and usable in written English.
It typically refers to the act of completely eliminating or removing something. For example, "The government has announced plans for the total abolition of taxes on basic commodities."
Vickers said: "Total abolition [of the taxpayer subsidy] is unlikely.
He and his fellow activists are campaigning for a total abolition of tourist flats in Barcelona.
"And we still want the total abolition of the project," she said.
The total abolition of cash is, however, not yet on the agenda.
"What was wanted, what is still needed, is a proclamation, distinctly announcing the total abolition of slavery".
As early as 1820, long before taking a public stand, he privately raised the prospect of a new union founded on the principle of "total abolition".
During the late 1990s WSP focused on total international abolition of nuclear armaments by the end of the 20th century.
His speeches have committed the U.S. to the pursuit of a "world without nuclear weapons," and linked the fight against proliferation to the goal of total nuclear abolition.
It has been assumed that up to half of the total General Service abolitions could result in redeployment or separation of staff, at a cost of US$4.00 million.
They have ducked the three major reforms necessary to make the media both free and accountable, namely the reversal of the burden of proof on defendants in libel cases, the introduction of a carefully defined tort (civil wrong) that would entitle juries to award damages for gross breaches of privacy, and the total and complete abolition of the Press Complaints Commission.
I'd vote for the total and instant abolition of the welfare state.
