There is one department that's similar to ICE, the riot police called Rosgvardia (Russian Guard), which is anti-mass-protest force. When it was created, they hired all the normal police drop-outs, the worst. But they only carry batons.
The real issue with human rights in Russia is in courts and law application, and inside prisons, out of public eye.
Beating up and actual torturing may commence after you were apprehended.
But being shot during the ordinary police stoppage is not a wide-spread problem.