The opposition party condemned the killing of Hindu Sangarsh Sena leader Vipin Sharma in Amritsar yesterday and accused Singh of "politicising" the police administration for the "benefit" of Congress leaders.
In a joint press statement, Leader of Opposition Sukhpal Singh Khaira, AAP leader Aman Arora and deputy Leader of Opposition Sarabjit Kaur Manuke alleged the state police had "failed" to stop "political killings".
Singh should give up the home affairs as he has "failed" to perform his duty as the chief of police department, the party said.
An AAP delegation will meet Governor Kaptan Singh Solanki to request him to remove Amarinder from the home ministry, it said.
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The AAP also ridiculed former chief minister Parkash Singh Badal for his criticism of the law and order.
Badal is just "shedding crocodile tears" as the process of politicisation of police was initiated by his Shiromani Akali Dal only, they alleged.
"Akalis leaders patronised drug traders and criminals to use them for their personal benefits.