So you want philosophical institutions to replace religious and cultural ones? Well that could work. but you would need to pick a philosophy, and devote resources into creating centers where it can be taught, and from where people can be recruited to go out and spread their philosophy the way the ancient Greeks did with their schools of philosophy.
You can't just do nothing, an expect your preferred philosophical inclination to become dominant or even remain dominant if you think it already is, which I would say it is not.