The smartest thing Israel could do is ask Jimmah to negotiate between different Palestinian groups, to see what they would be willing to accept as a permanent settlement. Once he has HAMAS and Al-Aksa nailed down, then it would be worthwhile for Israel to negotiate with them.
In other words, they should give Jimmah an impossible task which he will probably fail at, and if he succeeds, it will only benefit Israel.
No need to set the bar too high. Jimmah failed at lots of possible tasks, too.