Reply #9: His opinion as to why that might happen is stated in full, I believe here:

[Jefferson23]

"If the United States and the international community support this effort, they can help Palestinian democracy and establish the basis for a unified Palestinian state in the West Bank and Gaza that can make a secure peace with Israel. If they remain aloof or undermine the agreement, the situation in the occupied Palestinian territory may deteriorate with a new round of violence against Israel. Support for the interim government is critical, and the United States needs to take the lead."

Meaning, IF the U.S. and the international community do not support this effort and remain aloof or undermine
the agreement then the situation may deteriorate with a new round of violence against Israel.

Carter, imo, is stressing violence can be avoided if those specific players take the advice he is giving. I am not aware
that anyone wants to see more violence, but we'll see what the role the U.S. will serve here..this will give you a better
idea of what level of commitment they are willing to make in being an honest broker in the peace process.