The Kerala state legislative assembly adopted a motion on Monday demanding protection for people's livelihoods and the removal of the lawmaker, Praful Patel.
Adding to the bad feeling, a protest against a local official's comments on drug abuse resulted in 23 arrests, according to Indian media.
Most of them had fled a brutal military offensive in neighbouring Myanmar in 2017 that UN investigators concluded was executed with "genocidal intent".
On April 19, Mufti Rehman had announced a strike calling for the ban imposed on the TLP to be lifted and the arrested workers of the party to be released.
Government also plans to add Moulana Rehan Amjad Nomani, Ali Muhammad Aslam, Ghulam Ghouse Baghdadi, Haji Rafiq Perdaisi and Muhammad Amir Chotani on the ATA's Fourth Schedule.
Mufti Muneeb-ur-Rehman demanded that the arrested TLP workers be released.
Jamiat Ulema-e-Islam-Fazl (JUI-F) Chief Maulana Fazlur Rehman and Jamaat-e-Islami Ameer Siraj ul Haq also announced that they fully supported Muneeb's call for strike.
CNG and petrol pumps, as well as markets, will remain closed today.
A special cell comprising NADRA, Safe City Lahore and other agencies has been set up which will help in the identification of the people, the minister tweeted.
Cases will be registered against them under the Anti- Terrorism Act.