I would definitely like to see a France rework to some degree. Britain really just needs fluff and a little polish, but France needs more. Especially differentiating the parties; I'd structure it like this:
Sorellians: Rural, quasifascist, socially conservative, antiziganist and antisemitic. Deep rivalries with other factions but especially the Anarchistes. The openly evil faction.
Avant-Garde: the "vanguardists"/neo-Bolsheviks, what are currently called the Jacobins. Favor, well, a Bolshevik platform with a command economy and a vanguard party. State atheist, run by disaffected intellectuals, military officers, and former Bolsheviks. Full of what were OTL Stalinist toadies, deep rivalry with the Sorellians and Anarchistes.
Travailleurs: Urban, industrial syndicalists, the traditional dominant party for the '20s and early '30s. Secular, democratic, in favor of limited state power.
Anarchistes: Weirdly dichotomous mass movement, popular among the youth, shades of a Nestor Makhno personality cult but Makhno doesn't want it to be that even as he uses his fame as an anarchist revolutionary to build political inertia. Idealistic, with many weird ideas, socially liberal, hate the Vanguardists and Sorellians due to Makhno's bad experiences with Lenin and the Sorellians being commie-nazis.
Each one has a lot of problems internally and externally that they need to work through. The authoritarians need to consolidate power before somebody throws them out, the Sorellians are working against a ticking time bomb that is their racist policies negatively affecting national stability, the vanguardists are deeply unpopular with most of the populace and only take power by parliamentary tricks, the democrats have to fix their economy and military and avoid traps like elected officers and mass militia, the Travailleurs have to get their base more politically active after years of complacency, and the Anarchistes have something like an identity crisis.