The problem with people who believe that coercion brings solutions is that when it doesn't the clear implication is that there has not been enough coercion. The endgame for this is unfortunate.
There is no reason to assume that a completely voluntary society would have any less competition for social status than our present society. By imposing status costs on free riders and rewarding status to contributors, there is every reason to expect that the net level of public goods would be just as high if not higher without a monopoly government. The difference would be in how those goods were administered and their composition. Contributors would have much more control over how their contributions were distributed with a result of more efficient administration.
http://www.samizdata.net/2013/07/how-charities-used-to-raise-money/