A lot of Orthodox Christians seem to think the answer to modern liberal society is fascism, which in their view, is the natural antidote or polar opposite of liberalism.
The problem with that however, is that fascism itself is a revolutionary and modern ideology, it is not reactionary. But before talking about that, it is worthwhile to understand proper Orthodox Christian political thought, and while there isn't one modern ideology that fully encapsulates an Orthodox political way of life, it is generally agreed that looking to Byzantium for answers, as a kind of agreed upon standard, is the correct way to go about it.
There isn't enough room to go into great depth on this post but some of the hallmarks of Byzantine society and political thought would include:
Taxis- The properly arranged order of things. What is on Earth should be a reflection of that in Heaven. State, Church, Oikonomia are placed in an inalienable harmony. Innovation is seen as heresy.
Symphonia- Priesthood and Empire are two separate gifts of God that should work in harmony. Neither absorbs the other. The state always remains faithful to the teachings of the Church and the Church entrusts the state to carry out divine rule.
Philanthropia/Philotimo- The much strived for virtue of every emperor expressed as mercy, charity and always looking for what is best for fellow man.
Romanity- Byzantines can be described as cultural supremacists, and took pride in their ancestry, in their love of Greek learning and writing. But this does not equate to fascist views of race. Romanity was open for anyone to embrace, while still recognising ethnic boundaries. The Church was not a national one, it was the Ecumenical Church open to all people and for all people. Ethnophyletism (meaning my church for my people) was a completely foreign idea to Byzantium.
Mussolini himself wrote that monarchism belongs to the past, as well as the importance of Church in society. Fascism is about changing the established social order, bringing about a new change in man, much like communism and every other ideology born from around this time period. The main driving force of fascism, that the nation is the most highest and sacred value, is simply an innovation (kainotomia) and foreign to a true heavenly & imperial civilisation.