I would like to add that I, and many others who have expressed a preference that the Sign of Peace be excluded, are not taking this position because we do not like it or do not desire to be at peace with others or any of the other reasons cited by those advocating the inclusion of this option in the liturgy or expressing consternation of those who do not favor it.
Rather what motivates people like me is when it takes place. I would have no problem if the sign of peace were moved to another part of the Mass either before the consecration or after communion. That is because for many like me, we are focusing our minds and on the miracle that just took place on the altar; focusing on the vertical; to God. When the sign of peace comes, that distracts us from vertical orientation and causes of to focus on those around us, however briefly that may be, it breaks the chain of thought and meditation and it is difficult for many to pick up that thread afterwards.
Unlike any other activity, Mass, while public and member of the community are gathered in one place, is a thoroughly private experience. It is not entertainment, it is not a community event, it is not a performance, It is worship. Nothing is more private and personal than worship. Thus, unlike any other activity people engage in, Mass is utterly unique. Many have lost sight of this in recent decades and hence we see “innovations” and misplaced “creativity”.
The above is also why it is important that Mass be celebrated in a consistent manner. There are few things more distracting that someone doing something differently. Frequent changes to how Mass is celebrated often causes the mind to wander for many people. When my mind wanders, I do not get as much out of the Mass.
By the way, the Congregation for Divine Worship is currently considering moving the sign of peace to some other point in the Mass. I pray that the Holy Spirit will give them the grace of wisdom to evaluate this and make a determination that will benefit the faithful.