This vandalism and attack in Abu Ghosh have appeared amid a rapid increase in settler violence since a Palestinian terror attack where four Israelis were killed outside of a gas station in Eli.
Italy's Carabinieri police said they had been helped to identify the couple by photographic evidence but did not name them.
He can be seen smiling, even as the author of the video, speaking in English and using swear words, reprimands him.
The carving features three distinct elements - a human face, a cornucopia and a phallus - within a space measuring 57 x 42 centimeters.
The historic Seattle Reform synagogue had also been tagged with antisemitic graffiti six years ago.
The slogan refers to Meir Kahane, the convicted Jewish terrorist and founder of the outlawed Kach political party.
This three-dimensional visualization will also make it possible for researchers to study the relationship between a figural graffito.