I'll start: They're more satanic than political, but Bridge City Sinners are a pretty solid folk punk group with songs about everything from mental health struggles to Uruk Hai, including a Jungle Book cover from their early days.
Harley Poe, apes of the state, johnny hobo and the freight trains (Pat), local news legend, holy locusts, the taxpayers, stick and poke, Blackbird raum, Chad hates George (Jesse from Dayz), ghost mice (although there's a bunch of stuff with their singer that makes me not want to listen to him), and many others.
Definitely one of my favorite genres. Feel free if anyone wants more suggestions.
Thanks for the recs! The Mountain Goats is interesting, as I would have classified them more as lo-fi or even singer-songwriter, rather than any sort of punk (but then I've mostly listened to All Hail West Texas and The Sunset Tree, so my experience is limited)
Oh this is sounding lovely, going to add that to some playlists. If you don't mind having the lyrics in french, try listening to the older stuff from La Ruda Salska. More ska than punk but so good and great melodies so I think you should enjoy it regardless of understanding the lyrics.