A mixed economy permits private participation in production, which in return allows healthy competition that can result in profit.
Certain religious beliefs
It depends. The true definition, with is roughly law without force, then it wouldn't be too bad. Sounds like it would just be a non corrupt world. However, modern day groups like ANTIFA, it would suck. Things have been blown out of proportion honestly to the point where anarchy, or "anti-fascism", almost looks like fascism.