What about people who don't care for any sports? I presume they're fairly Democratic, being disproportionately female and/or counter-cultural.
Agree with that but there are females that are sports fans and have been few athletes that were part of counter-cultural/feminist movement such as Bill Walton and Billie Jean King. I would think they are more of socialist/green then Dems but I would put Democrats in second with far-right such as Alex Jones nutjobs in third for those that don't care about sports.
More socialist/green than average, sure, but those groups are so small that it's very unlikely they make up a plurality. There's possibly an ultra-religious component, too.
I wonder what percentage of Americans fall into this category. The larger the percentage, the more likely it is be reflective of general preferences. FWIW, I'm a non-sports fan (albeit non-American), but I follow politics as if it were a sport.