Christians founded universities in medieval Europe. They were Christian institutions, but no one (to my knowledge) sat down to work out an explicitly Christian model of education before starting a university. Universities were Christians instinctively rather than self-consciously.
Dittos for many of the other Christian institutions that arose during the era of Christendom.
We no longer have that luxury. The cultural tides flow in a quite different direction, so establishing Christian institutions and patterns of life requires a deliberation that was not necessary centuries ago.
On the plus side, self-consciousness can produce a degree of consistency beyond that of earlier generations. We can’t take for granted that our cultural assumptions are orthodox.
Self-consciousness can produce a healthy kind of radicalism, a Christian practice and faith that reaches to the root.