I'll tell you what gives me hope though: podcasts like the Joe Rogan Show where Joe, who is very progressive, will talk with ANYONE in order to discuss and understand differences. And this is one of the biggest weakness of mass media these days: if it cannot be condensed to a sound bite it's ignored. A thriving democracy is supposed to be a place where differing points of view are debated vigorously but with mutual respect between the parties debating. Unfortunately, these days it seems to be a race to get to the point where you can dehumanize your opponent, and this is a fault of both the left and right.
You ask who people on the other side think about you: I'm not a progressive but I don't think it's black and white either. I think we could probably agree on 80%+ of RELEVANT political issues... assuming we don't let a polarized media exaggerate what is actually relevant. We all want to be happy, we all want to be loved, we all want the next generation to prosper... I think that's universal.