Could toddlers solve major disputes, like Israel/Palestine and the like?

Is it possible (as a thought experiment) to ‘translate’ problems, like the Israel/Palestine case, to two or three toddlers in the sandbox and let them try to solve it, knowing that young children have an (yet) unspoiled view at problems (I think)?
If that is possible and they came to an agreement would it be possible to ‘translate’ it back to the adults who are dealing in reality with this dispute?
Or do I myself have an ‘childish’ look maybe?