When researching history, it's easy to find the deadly effects of trying to implement communism. It's literally all over our history books. However, one power structure (or lack of one in this case) has never really been given much attention in the history books: Anarchy
Now, don't get me wrong, if I had a choice only between anarchy and communism, anarchy would be a no-brainer. As a matter of fact, anarchy and voluntaryism are quite appealing. Unfortunately, anarchy and communism share the same Achilles heel, which is human nature. Specifically, greed, and ego are the primary reasons both communism and anarchism are pipe dreams.
Imagine all forms of government disappeared tomorrow, what would happen? Under the theory of voluntaryism, you wouldn't have to subject yourself to anyone's jurisdiction, you would be sovereign. This is the utopia anarchists dream of, but if they ever achieved it, it would be short-lived.
Most anarchists believe in the Non-aggression principle, which says violence can only be used for defense. However, if there was no government or authority to punish those that violate the NAP, we'd soon see people banding together voluntarily to protect themselves from violent outsiders. Everyone knows that there's safety in numbers. When those people band together, they might come up with a set of laws for their society to follow, and even establish boundaries (borders) so they could feel safe from outside attacks on their own land. Other people would do the same, and before you know it, multiple factions will be competing over resources. Some factions will undoubtedly choose violence as a way to impose their will on rival factions, and the peace and prosperity of voluntaryism will have been shown to be unworkable.
If you want to see the results of anarchy, you can find it all around you. The end results are drawn on a map for you to see. A map that shows 195 factions (196 if you count Taiwan) made up of millions of people, each with their own set of rules to follow, borders, strengths, and weaknesses.
Therefore, I feel it's safe to conclude that if all governments of this world magically disappeared, we would simply start building new ones. It would basically be like hitting a reset button, so we could struggle and kill each other like we did before to get to this point. After all, there's safety in numbers.