The world would probably be a better place. Laws just reflect what that society thinks is right and wrong. Most people would not violate laws that are already built into society. The ones starting to kill would soon be killed and we wouldn't have to put up with their BS.
What I'm saying is people would still "voluntarily" follow the previous rules,
out of tradition, out of sticking to what people are used to.
So if "some" groups or masses of people try to riot or cause mob attacks,
then "some" of the people who were previously working as security and military would still do their jobs voluntarily.
The amount of lawlessness would still be in the same proportion as it is now.
There are ALWAYS more fearbased than faithbased people now
(where faithbased means people who follow laws by faith, and already consider the world lawless and lost as is)
There would be more fearbased than faithbased people then (who would keep doing the same, or more so).
So for whatever uprising in chaos would occur, there would be the same uprising to impose authority and order.
This already happens now, with people rebelling on both sides, so why would the proportions be any different?