He rose to prominence in recent times after leading the FPI in three mass rallies between October and December last year, to protest against Jakarta Governor Basuki Tjahaja Purnama, popularly known as Ahok, for allegedly insulting Islam.
But ongoing police probes have seen the tables turned on the preacher.
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The case is centred on his alleged remark to an audience that Mr Sukarno had written an earlier version of Pancasila that did not prioritise a belief in God.
Mr Rizieq had been jailed twice previously - in 2003 for inciting his followers to violently harass people at nightspots in Jakarta, and in 2008 for attacking a minority group holding a vigil in the capital.
Ms Firza, a mother of one, is the chairman of the Cendana Friend Solidarity Movement, an organisation that reveres former president Suharto.
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Mr Rizieq arriving at the Jakarta police headquarters on Jan 23.
Today, the police are expected to question him and two other Muslim leaders with regard to a meeting they had attended with former lawmaker Sri Bintang Pamungkas and several others, who were arrested over an alleged plot to topple the government.
FPI spokesman Slamet Maarif told The Straits Times that "all these are lies", adding: "There are indications that there is a global movement to silence us." But analysts told The Straits Times it was not an attempt to muzzle critics, but simply the country's legal system taking its course.