You posted the definitions of free enterprise and capitalism? And I didn't see your explanation of the conflict between the two.
Main Entry: free enterprise
Function: noun : freedom of private business to organize and operate for profit in a competitive system without interference by government beyond regulation necessary to protect public interest and keep the national economy in balance
Main Entry: free trade
Function: noun : trade based on the unrestricted international exchange of goods with tariffs used only as a source of revenue
I don't see anything in these definitions that conflict with each other. I don't see anything that I, as a free trader, disagree with. Maybe the OAS gave you some bad info?