I think it's hard to say how much they are responsible for modern politics vs just a reflection of the attitudes that created it. This piece[1] from 2020 puts it pretty well I think. Either way it's hard for me to look at old episodes like "The Death Camp of Tolerance" without seeing a precursor to "anti-wokism".
>Political correctness is itself a fascinating term. Its elastic, capacious usage has grown to encompass just about anything conservative political culture would prefer not to talk about. Like South Park’s own essential premises, it judges the crime of bringing things up—grand injustices or just hurt feelings—to be worse than any unfairness, inequity, or simple rudeness. It is a sort of singular and universal commandment: Moses gone up the mountain to return with a single tablet that proclaims, “Stop complaining!”
[1]https://newrepublic.com/article/157066/watching-south-park-e...