Sorry! I'll try to make myself clear.
One thing is when people pass the peace one another; another thing is the responsive liturgy, i.e., the Pastor/Priest says something and the people answer. Responsive liturgies are not very common in some Protestant churches.
What happens in Brazil is that some Catholic Dioceses abolished the rite of people passing the peace one another, shaking hands, and instead kept just the responsive liturgy that states the same words, but the interaction being just Priest/people.
Thank you for clarifying. Hmm... I don't really have a good answer for you then. At my Baptist church we have neither responsive liturgy nor passing the peace.