she's very clear she wouldn't date anyone that adheres to those views, much like she wouldn't date a republican for the very same reason. That's going to, in effect, result in her not being willing to date a large portion of that group.
Yeah, that's a very different thing from not dating anyone from a certain ethnic group based on their ethnicity. As long as the criteria is the individual's beliefs (which they can change) and not their place of origin or background (which they cannot) then she's not unfairly discriminating imo.