I saw a chart recently (can't find it again) that illustrated a big part of the divide we are seeing now. And I would argue, with many others, that it's a direct result of the current POTUS.
Prior to the 2016 election, I really didn't care much about "politics". Being Republican or Democrat really didn't hold much significance for me. So even while I aligned with more Democratic stances, I've never been some huge Pro-Democrat or some huge Anti-Republican. I never really discussed politics with anyone (and really still don't aside from here) and never found the need to. If I found out someone was Republican, for example, it made absolutely no difference to me and never had an issue.
So, back to the chart I saw, on the left side it said "You can disagree with someone politically and still be friends" and it proceeded to list several items. It had things like economic policies, it had things like military and defense policies and foreign policies, things like gun control, environmental policies, etc. So you can easily disagree on any of those and not have to dislike a person or have a problem with them. Those are differences of opinion and politics and of course there are going to be various viewpoints, some more stark than others, but still, that's disagreeing about politics.
On the right side, however, it says "But you can't disagree about certain non-political issues and necessarily remain friends". And this is where it listed things like "rejecting science", "rejecting systemic racism exists", "condemning other religions", "not condemning white supremacy" etc. Those aren't "political" issues. Wearing a mask and following science isn't a political issue. Ignoring racism that still exists isn't a political issue. Banning "Muslims" isn't a political issue. Refusing to stand in unity against any hate groups (right or left) isn't a political issue. But Trump has turned these things into political issues.
And that's where I think this big divide is and why it's something that exists now that did not exist before. But for the Republicans following Trump in lock step with all of this, this wouldn't be a Republican vs. Democrat issue. It would be a Trump vs No Trump issue but it's turned into so much more now. I may not have agreed with George Bush's policies, but I never felt like he didn't have the interest of ALL of the country at heart. Same with every President since I've been alive and been exposed to.
Right now, Trump is only interested in taking care of the half of the country that supports him. He is turning non-political ideas into political ones. So, it's difficult for someone like myself to get behind that. Thus, when friends or family continue to zealously support him, it's not politics that's making it difficult. It's ideas that are much more than politics that are making it difficult. We've seen the excuses on this board from quite a few explaining away why some of those items on the "right side" of the chart aren't important, don't exist, or just because you support Trump doesn't mean you feel that way. And I try every single day to understand that but it is really difficult.
As to the original question and post, I don't know how that would happen at home because, right now, the two "sides" are so fundamentally different and it goes far beyond just politics, IMO.