So, people have been giving me questions on what the most prominent ideologies are. And before this crushes anyone's dreams for Anarchist Chile, let me just say that nothing will be
ruled out by these. However, the dominant ideologies will definitely nudge or affect the wider view of such ideologies (Such as the existence of the USSR pushing people to be tankies as per OTL Cold War).
With that said, there's three notable pillars:
Aristocratic/Oligarchic Repiublicanism is seen as the beginning of the "Free World," with examples such as the Serene Republic of Venice and the Dutch Republic taking an outsized role in the development of liberalism--and its ultimate curtailment, tending away from more extreme democratization and towards traditional authority structures and the like. As such, there is an increased likelihood that a Republic has a monarch or other vestiges of traditional/semi-feudal authority, and societies will be more open--and normalized--to the aristocratic ideas of modern Capitalist "Democracy." While this may restrict political freedoms more than OTL 1936, it has at least increased some Civil Liberties--of course, mostly for the most privileged classes, and only limited trickling down.
Examples: Serene Republic of Venice, Dutch Republic, Switzerland* (All of which are seen as "The birthplaces of Republicanism"), and have influenced Ireland, Spain (mostly its dominions), and Sardinia-Tuscany, Morocco, Theodoro; Republic of Portugal (though Portugal has left this category to align itself with Germany), Argentum (on the conservative/dictatorial side).
Monarchism never was challenged as strongly as it was by OTL's vibrant Liberalism, allowing it to survive into the present day. It never quite got as bad as Absolutism due to the decreased challenge from early/radical liberalism, and the lack of any major/blood revolutionary movement also saw the Monarchs sitting safely on their thrones. These largely see the need of a reaction against the liberal tenancies of the Republics, Democracies and Communal states, and forge strong ties with Theocracies and fascist states.
Examples: Kingdom of France, Kingdom of Kongo, Qing Empire, Kingdom of Two-Sicilies, GREATER RYUKU*, Kingdom of Magsalay (Madagascar)*.
Indigenous/Religious Communalism has seen an upsurge on the left as well, with the Plagues never being able to completely challenge the Native ideas of the Americas through colonialist subjugation, and the Diggers taking over England and creating the Commonwealth. These usually prize libertarian communal relations as the basis of society and economy, and tend towards radical democratization. While many have industrialized, they did not fall sway to capitalistic greed, instead integrating factory production with their longstanding communal ideas about property being for the common good.
Examples: Metis Confederation, Indigenous Federation, Commonwealth of England, Floridian Commonwealth, Democratic Confederation of Patagonia, Australian Aboriginal Anarchist Confederation*
So, those are what are seen as the primary ideas in this time period (akin to HoI's Democracy, Fascism, and Communism). However, that list certainly isn't exhaustive, as there's also a few more minor ideologies as well:
Popular Democracy was embraced by the Germans, not being satisfied with the conservative Republicanism of the nations surrounding it. This commitment makes it more Democratic than even modern-day Germany, with strongly devolved local power. It stands more alone than together, and while it does not go as hardline anti-capitalist as the English or Indigenous, it is largely still aligned with them in its extreme commitment to political freedom, with only Portugal considered a longstanding friend.
Theocracies are still around, same as the monarchies, and for similar reasons.
Examples: The Holy See, Jesuit Uruguay, Tibet, Sokoto Caliphate, Kingdom of Ethiopia*, Mutawakkilite Kingdom of Yemen*
Fascism: Yes, good old high-grade authoritarianism is still around, and even with its added emphasis on purges and ethnic superiority! Thankfully it's been much more marginalized.... for the most part.
Examples: the Arab State, Cuba, Argentum
Communism: The Democratic People's Republic of Minnesota* (formerly St. Paul, OTL Sao Paulo and surrounding areas of Brazil) was settled by Metis from Quebec, and they took their Communist ideas with them. Of course, they went a bit.... further than their northerly neighbors, dipping into heavy-handed authoritarianism and strict hierarchical control, though they do fully integrate indigenous rights into their politics.
Nota Bene: Any nations marked with a * have no official author and are up for adoption (IE I made them up)