The experiment has actually been running already. The Gaza Strip is run by Hamas, which is violent and pushes back against Israel however they can. The West Bank is run by Fatah, which has been attempting to keep good relations with Israel and work with them.

Despite that, the West Bank has seen a continuing encroachment of illegal Israeli settlers, continuing violence directed at Palestinians, both by the settlers moving in there and by the Israeli army. The reason the border with Gaza was so ill-defended was because Netanyahu had moved much of the force usually stationed there into the West Bank. Palestinian deaths in the West Bank has been rising.

I don't think the Mahatma Ghandi approach is likely to work in the Middle East. At least no better than any other approach people have been trying has been working there.