Unfortunately, and I hate to be the bearer of bad news, but anarcho-capitalism or rather libertarianism is not compatible with the common good and universal destination of goods as conceived of by Catholic Social Doctrine.
The Church is quite accommodating of different political beliefs and systems, provided that certain moral and societal principles are respected.
In taking individualism to an idolatrous level and neglecting the principle of solidarity, right-wing libertarianism violates the virtue of charity. It thus commits the opposite wrong from Marxian or totalitarian-statist socialism, as typified by Maduro’s Venezuela.
Ironically, left-libertarianism or libertarian anarchism is actually compatible with Catholic Social Teaching. It neither violates solidarity nor subsidiarity and a number of recognised servants of God, such as Dorothy Day, have been left-wing anarchists.
On the centre-right, Christian Democracy-style conservatism or the social market economy (combining a free market under a kind of fiscal conservatism but with very good safety nets), like in Germany under Angela Merkel, is likewise compatible with our Social Doctrine, as is the social democracy of the Scandinavians (which is a sort of capitalist-socialist hybrid without a planned economy and pro-free trade but with a very extensive welfare state) or ‘democratic socialism’ (which is further to the left than the Nordic model) as practised in an explicitly non-Marxist context in a number of countries, such as the current government of Portugal, Sinn Fein in Northern Ireland and the British Labour Party.