I agree. Moreover, socialism and capitalism are not antithetical--they are orthogonal. Norway and the US have socialism (e.g., Social Security) and capitalism (e.g., people invest their capital to fund industry).

Socialism without capitalism is communism--the state owns everything.

Capitalism without socialism is anarchy: if you don't socialize a legal system, law enforcement, and national defense, then you don't have a country.

East India company and its armies are something of a counter argument to your second point.