I don't think any of these should be called "free market think-tanks". They have nothing to do with free markets as proposed by Adam Smith and Friedrich von Hayek, who both required effective regulation and some kind of ethics. American neo-cons is the opposite of that.

https://www.theguardian.com/politics/2019/nov/29/the-us-donors-who-gave-generously-to-rightwing-uk-groups