Let's hope the people not subject to a warrant sue ICE's pants off. As far as I can tell, most of the dragnets are either in public places or with the permission of the property owner.
I'd love to be wrong because it means the judciary has a chance to shut this down but I fear outside of a few civil rights suits this will have to be remedied at the ballot box.
It's essentially impossible to sue ICE, they have qualified immunity. Police have been doing similar things for years.
The officers do, not the agency or police department. People sue and win against police departments all the time.