Police would probably still work fine without data centers for a few days. As long as they can communicate and 911 works, they can do most of their job in the short run.
It's much worse if benefits or paychecks don't get paid. For many people that means that they won't be able to buy groceries as soon as a few days later. Not the standard HN crowd, but many people depend on regular paychecks and can be in trouble if it comes even one day late.