I absolutely disagree on this one. The profit motive is humanly distorting and can never be used as a fair way to produce goods and services and allocate resources. By definition, capitalists decide what to do with capital. While a mixed economy with regulated capitalism is way better than what we have now, ultimately capital concentrates and a dictatorship of the rich prevails.
Democracy and capitalism are inherently oppositional. That’s partly what class war is about. The problem is creating democratic forms that she wealth and do not inhibit human rights and liberties. Certainly, as you mention, co-ops are one of those forms.