> Maybe the difference is not left versus right, but "my community" (trying to recruit people into your imagined better society) versus "the community" (acknowledging that we all live in the same world, and meeting people where they are)?

Both for left-wing and right-wing people, it's about who is in-group vs out-group [1]. The only difference is by which values, psychometric and socioeconomic traits, ... left-wing vs right-wing people decide who belongs to their respective in-group vs out-group.

[1] https://en.wikipedia.org/wiki/In-group_and_out-group