What on earth are you talking about? The "Chilean miracle" was a miracle of how the Chicago boys stabilized the economy that they nearly destroyed. It took years to even get back to the place Chile was before the US interfered. Chile is the best example of Friedman's methods not working since his hardcore stance had to be toned back as it was destroying the country.
You have to put this into perspective to Alende's approach:
Allende's program included advancement of workers' interests, replacing the judicial system with "socialist legality", nationalization of banks and forcing others to bankruptcy, and strengthening "popular militias" known as MIR.