Simple fact is, if there was no government, the capitalistic system would create some sort of government in order to protect its assets, trades, markets and so on. Also as you all have probably seen in the past, here in the USA, capitalism would use the government to stay on top. A free market isn't exactly the same thing as capitalism.
Also a pure capitalist may incorporate some very socialistic ideas, like healthcare and childcare for all workers. Because if you plan on being as productive as possible you would want all your workers as healthy and distraction free as possible while maintaining the ability to raise the next generation of producers.
Just my 2 cents.
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