You can follow people. But if the people you follow "like" a political post, then you might see that. You can also tell Twitter to "Show you less" of any kind of post.

Or just turn off the feature entirely in settings.

I used to think that worked, and at some point it (maybe) did. There were/are also magic strings you can mute.

I think currently your only hope is to use the "latest tweets" timeline, complete with periodically resetting your preference when Twitter decides to change it for you, which is abusive behavior on their part.

I prefer the chrono timeline and no "likes are stochastic retweets" nonsense, so that's a happy convergence for me. Who knows how long it'll last; Twitter seems to despise their users and I'm quite convinced no one in power at the company actually uses the platform.

Where in settings? I've just checked everything.

Sorry, it's actually on the timeline. On twitter.com, look at the stars to the right of "Home" right at the top. Click that, then "See latest Tweets instead"

A twitter-like service whose only ban-able TOS violation (besides obviously illegal stuff) is to post any political content... that sounds amazing! I’d be there in a heartbeat.

The thing is, everything is political. Take LGBT people, especially trans people. Their entire right to existence is a hotly debated topic. Same for abortions. Religions. Sport events. Porn preferences. Sex work. Even such utterly mundane things as lipstick.

Take that out and you'd be left with essentially a feed of cute animals and still get fights between people arguing if dogs or cats are cuter.

> The thing is, everything is political...

That's true, but even more so than your list suggests. It's not just socio-cultural controversies that are political, but even basic elements of the economic status quo. Why do I have health insurance but not my Uber driver? Is my labor worth more than his? Is it OK that Pat Bowlen owns the Denver Broncos, or should the city of Denver own it instead (a la the Green Bay Packers)?

Sure, my list was focused on things that at least on the first glance don't appear "political". Your items definitely cross that threshold ;)