Agreed. I think it's a major issue in political discourse when people begin to identify with labels and slogans, and treat them as prescriptive (ideals to be adhered to) rather than descriptive (approximate reflections of one's current general beliefs).

Surveys consistently show that most of us agree on far more than we disagree when questions are phrased in politically neutral terms. People quickly realize when they actually talk to other people that most are fairly reasonable and relatable, even if they have good faith disagreements on particular points, but social media being optimized for maximum engagement with shallow/short-form discussion just results in seeing the most extreme elements of society talk over each other and largely fail to come to a common understanding.