Yes it would all be over in a fortnight. So all you really need to do is hide with enough water to get you through. You can manage without food, although better to have some. But 14 chocolate bars will see you through. Then those who have committed terrible crimes will be harshly punished. They would have to be as part of the emotional process of getting back to normal.
Also martial law would quickly be declared. The last thing any government wants is its citizens running about taking the law into their own hands. If zombies spread far enough quickly enough, and biting is a really inefficient way of spreading a virus, then any sane government will put a cordon around the affected areas and bomb them to smithereens.
But if you really want a comparison, look at ebola. A terrifying disease. No people do not become zombies, but the virus is very infectious to anyone coming into contact with any bodily fluid. and causes you to bleed to death - spreading the disease. Volunteers, mainly medicine sans frontiers, successfully fought the disease and contained it. There were riots as rumours spread that Drs were spreading the virus. But no, it was not a Mad Max scenario, even though it happened in countries with poor infrastructure and law and order.
Because if zombies really happened, unless there was a very long incubation period, and no film or series has ever shown that scenario, then countries would quickly close their borders from infected countries. And there would be people who would volunteer to tackle it. Can you imagine asking people to volunteer to be trained to fight and kill zombies in another country? Some people would volunteer. Some for good reasons, some for bad. But you would be able to put a volunteer army together, along with an airforce attacks, plus drones that can kill. Help would come.