Whether he goes to the gym to get physically fit or does so through a different means that has nothing to do with a gym, she doesn’t care all that much.
Political views are usually connected to lifestyle.
Therefore, it isn’t simply his political views but how those shape how he lives his life and what he believes that you have to consider.
It’s tempting to ignore the differing political views when there are other interests you both share that are similar.
When you establish a shared connection with him in other areas, such as music, pop culture, history, education, profession, etc., it’s tempting to believe that the differing political views aren’t such a big deal.