Me neither with the Carpatho-Rusyns or Ukrainains. Much as I hate to say this, most of my friends ( and myself for that matter) at the parish and around the parishes I am familiar with, would regard this as a Catholic innovation or a Latinization which is like waving a red flag in front of a bull given our history with the Greek Catholics. I know that this is probably not an accurate assessment of the history of the Kiss of Peace, but it certainly would be regarded as an innovation in most places.
According to the earliest sources (i.e. second through fourth century) the Kiss of Peace came after the official ending of the Liturgy of the Word. It was a natural time to say hello, as the deacons went to grab the bread and wine, and everyone transitioned into position for the anaphora/eucharist. Keep in mind that the worship space was highly segregated by ecclesiastical "rank" and sex, so you'd really only be greeting your same-sex peers.
This practice became highly stylized, and, eventually, fell out of use in both East and West by the 13th century. According to the EO liturgical books, only the clergy continue to observe it among their own ranks.
The Roman missal began to call for a Kiss of Peace for the laity in 1970, so it's a "renovation" in the Latin world as well. There had been several generations of theologians who had been writing about how its reintroduction would be an important step toward reinvigorating everyone's sense of the priesthood of the laity. Among the Orthodox these theologians included Fr Nicholas Afanasiev. Some OCA and Antiochian parishes in North America have been observing a Kiss of Peace for the laity since the early 1970s, since, in a lot of ways, Frs Schmemann and Meyendorff are Afanasiev translated into English.
Of course, the renovation advocated by SVS in the 70s and on, is only partial (going back to a seventh century example instead of a second century one), and it uses a formula introduced for the clergy much, much later than that ("Christ is in our midst" instead of "Peace be with you," the actual formula used even as late as the 10th century). That's the problem with renovations in practice: They never actually recover the past. And the past, history, and tradition are three different things anyway.