I'll bite. Let's say I'm in charge of a FOSS project to which you and I are both contributing to. If I find out you are posting white nationalist propaganda on Twitter, I'll kick you out of the project, simply because I don't like white nationalists and don't want the project to appear welcoming to them.
What if you find out that the other other person supports strong enforcement of existing immigration laws? What if supporters of that policy are being labeled as a "white nationalists" by others? Is that really evidence of "white nationalism"? What if that person simultaneously supports significant changes to the immigration laws that would result in more legal immigration?
In those cases, I would still ask myself the same questions. Namely, am I fine with being associated with a person with these views? and am I fine with them being associated to my project?
If the answer is no, I would kick them out just the same and that's ok.
I guess kicking out one of the top contributors would hurt your FOSS project more than the indirect connection to white nationalists. And if it helps against white nationalists, I think that's debatable.