Came to Syria through Gaziantep, then to Jordan, from Jordan to Israel, through King Houssein border, which is the northern border. I got refused on the Jordan side, and had to go back to Amman to get a paper from some kind of administration, to allow me the border crossing with my bike.
So, back to the same border.
I managed to get a stamp on a separate piece of paper on the jordanian side. Israel border: surreal. Gun pointed at me - because I had lights on. Then 5 hours of inspection and questionning, because of the syrian visa ("why do you have a syrian visa?" I got the world map out of my bag... No joke. I had to explain that lybia is not that easy, and Irak not easier... "Do you have a return plane ticket?" My bike was parked right in front of her...). I managed to get a separate stamp for me, but NOT for the motorcycle (you don't need a carnet, but the importation of the vehicle is marked in the passport itself). The stamp is either in english or...in hebrew.
Much easier on the Israel side, for I knew everyone there. Surreal again (shaking hands, talking for hours about the travel, life in israel and so on). Managed to get the stamp on a separate paper. For the vehicule, same again: stamp on the passport - quite big this time.
Jordan side: I explained everything ("please do not stamp the passport, I'm going back to Syria, etc" "aïwa, aïwa, no problem"). No problem until I had to put my hand between the carnet and the stamp. He stamped my hand. Then looked at me, intrigued, and then sorry, when he realised what he was about to do.
I went back to Syria, then to Turkey and Iran. Nobody suspected anything. Somebody I met on the road had to argue that the stamp for the exit of the israelian territory was a stamp from cambodia. It took some time, but it worked.