Why?
I am not on some high horse here, I am not sure what I would be willing to put up with if I had no other options but I certainly prefer working with companies that have values that are aligned with my own.
"Liberal" and "conservative" aren't the only political flavors, either. Lots of leftist activists don't work with liberals and lots of right-wing activists don't work with conservatives, for example. It's also difficult to work with someone whose beliefs conflict too much with your own or whose views are dehumanizing (like, I wouldn't want to work with someone who regards themselves as superior because of their race).
There are too many actions that are political when they come down to it (pricing products, marketing products, choosing partners, choosing tools, choosing customers, choosing features, choosing charities, etc). There is no possible way that all of them are going to align with your views.
The reason that works is that you’re just able to not care that they don’t.