I can offer two perspectives on this.
Firstly, as a reader/viewer, I can absolutely separate the art from the artist. Art I use for inspiration and entertainment - even the ghastliest of pieces can contain shards of both, and it's those shards I'm after. If the artist turns out to be a bigot, for example, then that's their problem because not even Leonardo da Vinci could convince me to believe something vile. My soul, for want of a better term, is my own responsibility and there are some things I will never let into it, no matter who tries to influence me to do so.
Secondly, as an amateur writer, even more amateur artist, and semi-pro pain-in-the-arse, I think it's important for me to keep my paininthearsery out of my art as much as possible. It's always going to creep in, sure, and I want it to - but only as part of the whole, and only when relevant. It's part of my perspective, after all, which I recognise as a potential problem. When I write a script or story, or make a picture, my primary goal is to entertain. As people who frequent the waters in which I swim are well aware, my posts here are often annoying, rarely entertaining, and sometimes even censored. I try to walk a fine line (although in my case 'stomp a fine line' might be more accurate) between offering my perspective on the world and presenting it as self-evident. The Political Thread (for example) is me being me - and it seems I can be a thoroughly annoying chap, although I can't imagine why. My dog absolutely adores me. But if I pour all that into my art then I don't think it would be all that entertaining - so I use it there as a condiment, or try to.
If some choose to ignore my amateurish work because of my views (hypothetically, of course), then that would make me sad but it's not going to change me. I believe that most people are smart enough to differentiate between flaws in personality and flaws in craft. If I'm told my art is poor because it's unimaginative, pedestrian, badly written, or badly drawn then that's fine, great even, because I can improve my craft (criticism being the whetstone of art) to provide better entertainment. But if I'm told my art is poor because of who I am, I simply ignore it, because I don't think it's a valid argument: a form of ad hominem fallacy, "story A is poor because its author is B."
TL; DR - read my snecking stories, you shower of drokkers - and stop voting.