Unique. You seem like a pretty devout Catholic who would like a greater role for religion in politics, and most of those people in France tend to be OMGDZ EUROPE SUX!!1!, which you aren't, thank God.
A greater role for personal moral values (not values in a US social conservative way...)and for personal ethics and moral rules and guidelines in individual behaviours, not especially in politics.
But i've learnt that politics and public service are an addition of individual behaviours and you may reform and reform and reform structures, institutions, systems, parties, laws, etc, while always failing because of lack of individual ethics, probity and also pragmatism, common sense.
That's why you haven't seen me taking part in debates on parliamentarian/presidential systems... (The only little thing that I care about is the electoral system !)
I'm a devout Catholic, when I see loving and happy and joyful Catholic families. Strict principles of life and behaviour (probity, compassion, respect for the others, but also clarity on our own identity and on our basic principles, without any agressivity or will to convert others by force) aren't constraining when you keep your common sense and your humility: the "solid" Catholics aren't perfect at all, they just to try to do a bit better.
As you've noticed yourself in your "US with French parties" in the "international what-ifs" section (everyone, go and read, it's wonderful), "solid" European Catholics aren't the equivalent of evangelicals.
I'm a pragmatic European federalist. The EU
per se isn't good or bad, it's just the sense of history and the common sense. This is a fantastic tool and it can be used in many ways... I want it to be used with pragmatism.
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Anyways, I think Hamilton is more unique in acts than in ideology.
His ideology tries to be unique, in a fine way, I may say