If a butane stove is what you want to use, you probably will need to buy one when you get to Israel, because most airlines don't like camping stoves. I'm not really sure what you would do when you finished the trail -- maybe give the stove away? I guess if you finished in Eilat you could leave it with the nice folks at the Shelter hostel, and they could help find a good home for it.
Butane stoves are nice and easy to use. Since using the Cat Stove, though, I don't think I'll ever go back. So cheap, light, and easy. And if the airline takes it away, you can just build a new one when you get home!