I think I might have an idea.
Do you remember that bit in Monty Python and the Holy Grail where Author declared himself king of Britain and a peasant pointed-out that the people of his village would have no need for a king since they like their anarcho-syndicalist society? How about you do that: the left-wing anarcho-syndicalist vs. the right-wing feudalist.
With an anarcho-syndicalist society, everyone's equal and the individual communities are usually pretty strong. However, they aren't well-protected: there's no army or police force (maybe a volunteer militia). This leaves them vulnerable to foreign attacks or isolation from other communities.
A feudalist monarchy offers greater protection (knights serving their lords, a national army, national laws, etc.) and a more stable organized structure (king controls lords who own the land, etc.). However, this leads to a small but powerful upper-class and a large and subservient lower class.
Basically, both ideologies have pros and cons. You can have it so the serfs wish to start a revolution to replace the aristocracy with the more fair anarcho-syndicalist society (a historically example could be the early days of communism in Russia like from 1890 to about 1915). Or you can have a monarch be in the process of unifying the country under his (and the Church's) rule (a historically example could be Charlemagne and the Holy Roman Empire). A rising monarch working with the Church could make for an interesting anti-hero/anti-villain.
This dad character can support the monarchy due to the protection and stability it provides him and his family. He can be all like "sure, there are a lot of poor people but at least, they're safe and organized; this anarchists are trying to destroy our kingdom), which is a far more compelling and sympathetic than "he's conservative because he's uneducated”.
Also, before anyone points this out, I know this isn't historically accurate but for a historical fiction, I'd say this is at least believable.