O'Connor launched his new campaigning outfit, Agents for Change, last week and has promised stunts even more high-profile and controversial than anything pursued by Fathers 4 Justice.
"We are political agitators, and as such will be far more radical than Liberty," he said. "You won't see us climbing onto roofs any more, though - we will be much smarter than that.
"We will try to connect civil liberties to the man on the street, who might think 'What does this have to do with me?' Issues such as ID cards, surveillance and speed cameras affect everyone and hit them in the pocket."
Agents for Change will also campaign for electoral reform and changes to family law. O'Connor said it would take much of its inspiration from Greenpeace.
Members of the now-defunct Fathers 4 Justice are in the process of establishing a new organisation that will be known as the Fathers 4 Justice Foundation.
They hope it will become a registered charity and run services for young offenders from broken homes.
O'Connor will be an informal adviser to the new organisation, but will not be involved in the day-to-day running of it.
He took the decision to wind up Fathers 4 Justice in January after it was widely reported that members of the group were planning to kidnap Leo Blair, the Prime Minister's youngest son.
O'Connor admitted that he was initially convinced that the name had fallen into disrepute, but other members had convinced him otherwise.