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.
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.