Allow those who are working on whatever problems may occur, to fix them in peace. Enable the emergency folks to handle the real emergencies. If problems do occur, stay at home or in your neighborhood and do not place yourself or your family in a situation that could cause another emergency. Banks are not normally open on New Years Day anyway. Let's not create false expectations by having banks and businesses open on January 1.
Preparation is insurance.
The government's 3-day storm metaphor is ludicrous. When a 3-day storm hits, they just pack the van and go to grandma's. If we have Y2K disruptions, grandma will probably be coming to their house. One month or more seems a reasonable length of time. It takes time to get computer chips and parts in the best of times.