Not if that job relies on being able to evaluate evidence or change your beliefs on the basis of observed outcomes. But that's not because of value-less "political beliefs"; it's because people who prioritize partisanship over evidence, on either side of the political divide, are going to have problems in environments that reward responding to feedback. Anti-capitalist anarchists who don't believe in supply-and-demand probably have the same problem.
Though openly supporting racist, anti-immigrant policies in a field with so many talented immigrants may actually be a unique challenge. Promoting policies that attack your coworkers seems like it would alienate a lot of people, at least if you expect to be able to share your beliefs about how people like them shouldn't exist.
There is evidence that current eco-policies are pushing industry and hence economic power into the hands of an insane totalitarian regime and nobody seems to be discussing possible outcomes of that.
There is evidence that H1B has been abused by body shops for a very long time now and nobody seemed to care until some Americans really got pissed and partisan about it.
Though openly supporting racist, anti-immigrant policies in a field with so many talented immigrants may actually be a unique challenge. Promoting policies that attack your coworkers seems like it would alienate a lot of people, at least if you expect to be able to share your beliefs about how people like them shouldn't exist.