I think you have it backwards. It's the 'liberal ideology' as you put it that is conflating and rebranding the classic economic liberalism. I think it's fair to

I think you have it backwards. It's the 'liberal ideology' as you put it that is conflating and rebranding the classic economic liberalism. I think it's fair to say Thatcher and Reagan were proponents of free markets and private ownership, which is at least a basic part of the reason they are considered some of the best examples of neoliberalism last century.