Well you are the one who concentrated your first effort on the Dead Sea Rift, which is why I suggested adding something about the rocks and structure of the area (i.e., Israel, Jordan, etc.).
I would probably start by looking at the rocks in Israel and how old they are. Then, as Cora suggested, discuss where the plates were at the time the rocks in Israel were being deposited, what those depositional systems looked like, and when the Arabian plate began separating from the African plate. Begin with the earliest geologic history and work your way up to today.
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Can someone give me a straight forward explanation of how Israel's geology in the context of plate tectonic formed, and which plates have been involved?
I take it from that statement you are looking for something detailed. I'm not sure someone is up to putting that much work into a post (I may be mistaken). Judging from the paucity of geologic information on Israel, I suggest you search for "geologic history of the Middle East" and "tectonic history of the Middle East." That will get you started with some informative links.