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The best thing to do is remember how you felt four years ago. I'm guessing that for the first couple of days, you needed to either vent or grieve (or both), and engaging with the folks on the winning side wouldn't have helped. So give them a few days.
Beyond that, at risk of saying the obvious, treat them as human beings. The last 8+ years have felt like each side (however you define that word) tries to view the other as subhuman. That's an easy path, but it's not one that offers hope for actual friendships moving forward.
And also accept that some folks simply won't be in a position to talk for a while. "Time heals all wounds" may not always be true, but it's got some truth at its core.