JaSoD, meanwhile, has backed down from criticism of the move that has drawn howls of protests from other politicians, academicians, secular activists and people from almost all echelons of society.
Many fear that this meltdown will only embolden the radical forces who will go on to create more political issues.
Hasanul Haq Inu, President of Jatiya Samajtantrik Dal, a partner of the Awami League-led coalition, was on the same wavelength.
His party, however, had protested strongly when Prime Minister Sheikh Hasina gave in to Islamists' demand for the removal.
"Unfortunately, the debate was turned into one between statue and sculpture. Actually it has nothing to do with religion. This step backward is unfortunate for the nation," the party, headed by Rashed Khan Menon, said in a statement.
The statue, removed under the cover of night on Friday, was a variation on the Greek goddess Themis in a sari.
Ganajagaran Mancha, Chhatra Union, Chhatra Front, Chhatra Maitri and many other student and cultural organisations demonstrated against the removal throughout the day.
Police fired teargas shells, rubber bullets and used water cannons to disperse protesters in Dhaka University area in the afternoon.
They are asking for reinstallation of the sculpture.
Professor Serajul Islam Choudhury said the removal of the statue would let Hifazat exert more pressure and bargain for now.
They said such an 'anti-progressive' move has enraged them.
Shahriar Kabir, who is vocal for war crimes trial, says the activities centring the statue was a attack on the spirit of Liberation War.