In the modern world online access is as necessary as water, power and phone service. No one would suggest forcing the power company to cut service to a customer over trivial civil law matters (which is what copyright is) that are completely unrelated to the company or the service it provides. No one should suggest cutting internet access either.
I guess ISPs in the US don't want to use that argument due to the regulatory implications (the common carrier classification thing)? But someone should be making that argument to the court.