1) Almost every other country in Latin America suffered from a military coup based on the same ideological grounds, that applied almost the same policies. They all suffered an "intervention", and not all ended up like Chile. There is not even a correlation between "interventions" and their current economic state.
2) Chile is not the economic leader of Latin America, Brazil is, with it's modern success atributed mostly to a former union leader, who was also part of of Brazil's "Workers Party", Lula da Silva.