It might help to realize that this is a uniquely American affliction. People almost anywhere else simply don't consider politics (or race or gender for that matter) to be nearly as important.

This would then let you see your neighbors as people. What you claim are core values are nothing of the sort. They are misconceptions invented by your in-group to dehumanize the out-group. In reality people's core values are: their kids, their health, love, belonging, a sense of purpose. The rest is just a puppet master hijacking these core values for organizing a crowd.