All the Isrealies need to do for lasting peace is stop forcing families out of thieir homes. Its unfortunate the world does not pressure them to do so.
Although the case was not as clear cut as what that sentence implies, it wasn't nearly "forcing families out of their homes". It was more (if we're to believe the reports) "forcing people out of homes that they didn't own, after they stopped paying rent which they agreed to pay".
If your goal was to clarify the dispute, I think you chose a poor article with which to do so. It is difficult to determine who is credible and who is not among many of these specialty publications and nonprofits, and they are rarely circumspect. I doubt that there is a clear legal history to how one family or sect owns land that another family or sect has lived on for half a century or more. It doesn't pass the smell test. In the US we would perhaps discuss prescriptive easement or adverse possession, but in Israel and Palestine most of the legal arguments seem like a smokescreen for strong-arm tactics.
[0] http://arabcenterdc.org/policy_analyses/israels-screen-of-le...
[1] https://www.reuters.com/world/middle-east/east-jerusalems-sh...
[2] https://www.aljazeera.com/news/2021/5/11/sheikh-jarrah-resid...