Phrasing matters. There are a lot of these signs around these days, blue with flag motifs. I go through a whole street of them in Concord on one of my routes to work. I don't know these people. They may be nice folks. But they don't quite say "We Don't Hate Anyone," do they? That's less poetic, of course, and doesn't have quite the same seriousness of tone. Hate Has No Home Here is nicely alliterative, and it has just a touch of old-fashionedness in its phrasing. Very serious. There's more than a whiff of We're disappointed in the rest of you. We'll discuss this after dinner. Go to your room and think about what happened today. The implication is that hate does have a home in other people's houses, and we should all be alert for that and not let them succeed, those haters. It's a statement that hatred is on the rise. The many signs that say Be Kind are something of a cliche but I think those people mean something much closer to "We Don't Hate Anyone." I think they mean to be kind.
Hate Has No Home Here is a rather hateful sign when you think about it, isn't it? I'm guessing that many people who have it don't interrogate themselves what they really mean.