...tortured people by thousands, threw the least desirable into the sea from helicopters.
That's not becoming cool irregardless of how many positively sounding weasel words you put around "coup" and negatively sounding ones around "Allende".
The human rights related crimes in Chile and all countries affected by Operation Condor had the high-level objective of eradicating socialists/communists, and that was a part of a long term plan of ensuring that the policies the juntas created would not be reverted.
Do I agree with using violence to support a economic/political system? no. But that was what happened.