Classical Liberalism only works when you have a culturally homogenous society.

Even that isn't enough in my opinion. Not only a homogenous society but a ethno/racial state that explictly bans outsider ethinics & races from power.

It must also be a patriarchy, explictly banning women from power.

While Classical Liberalism has to allow freedom of religion, it must not go all in on secularism. There should be a state religion in a nation's constitution while allowing freedom of religion to the citicizens, this establishes the religious ethos of the state and helps keep out secular philophies that are basically religions in their own right (Marxism, "Following The Science", etc.)

There should be seperation of powers, and checks & balances similar to the United States government, though I would argue even the USA needs even more checks & balances than it already has. And this leads to neatly to my last point.

There should be an electoral college for all 3 major executive offices, meaning the presidency on the federal level, governorships on the state level and mayors on the local level. If an electoral college is needed on the federal level to keep highly populated states from running roughshod over the rights of other states, then an electoral college is needed on the state level to keep highly populated localities from running roughshod over the rights of the whole state and localities need an electoral college to keep highly populated semi-localities from running roughshod over the rights of the whole locality. It is absolutely dumb to argue for the need of a republic to hold back the worst tendences of democracy on the federal level, but then ignore that for the state level & local level.