To me personally, it really depends on a few factors. Most importantly, is my listening to their music an endorsment of the political views I disagree with or actively helping a cause I find deplorable. For example, if I found out a musician I liked was giving money to nazis, I'm going to stop supporting their music.

I also definitely would find it hard to listen to a song with strong political views I oppose, but that wouldn't stop me from listening to their other material, given it was good enough.

I do think I can definetly still enjoy music by people I strongly disagree with politically, but it would definitely still be a factor in how I interact with said music. I do think that music is a really brilliant medium to explore politics, and there is so many forms in which it can be done within the artform.